9
Sensors and Actuators A 137 (2007) 321–329 A new approach to develop ionic polymer–metal composites (IPMC) actuator: Fabrication and control for active catheter systems Bo-Kai Fang a,1 , Ming-Shaung Ju a,, Chou-Ching K. Lin b,2 a Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan b Department of Neurology, National Cheng Kung University Hospital, Tainan 701, Taiwan Received 29 December 2006; received in revised form 22 March 2007; accepted 31 March 2007 Available online 4 April 2007 Abstract The ionic polymer–metal composite (IPMC) is one type of electro-active materials with the characteristics of low electric driving potential, large deformation and aquatic manipulation. It is highly attractive to biomedical applications as an actuator or a sensor. The main purpose of this study was to develop an IPMC actuator for active catheter systems. The first step was to develop a low cost and high reliability fabrication procedure to yield an IPMC actuator. In the second step, the dynamic behavior of the actuator was tested in an aqueous environment. An empirical model was then constructed, which consisted of a fourth-order linear system, a nonlinear gain and a time delay. To linearize the dynamic behavior of this actuator for better actuating performance, a nonlinearity compensation method by a second-order polynomial was proposed. In the final step, the bending behavior of the constructed IPMC actuator with an open-loop and a closed-loop controller design was investigated. The results indicated that a low cost but reliable IPMC actuator was fabricated successfully. Its production time was less than half of current manufacturing time (more than 48h). The bending motion at low operation frequencies was well controlled by a conventional PID controller without adding complicated control algorithm. Our proposed algorithm decreased the maximum overshot from 30 to 4.2%, and the steady-state error from 15 to 4%. Though the rise time was increased from 0.084 to 0.325 s, it was within the limit for many biomedical applications. © 2007 Elsevier B.V. All rights reserved. Keywords: Ionic polymer–metal composites (IPMC); Actuator; Active catheter; Control 1. Introduction In recent years, cardiac catheterization has been becoming a common procedure for diagnosing or treating coronary heart dis- eases. To develop an active cardiac catheter, Guo et al. employed one type of electro-active polymers, ionic polymer–metal com- posite (IPMC), as the bending actuator with large deformation capability [1,2]. Because of its flexibility and low driving power, IPMC is highly attractive as a material for actuators or sensors in biomedical applications and for developing artificial muscles or biomimetic robots [3–5]. Corresponding author. Tel.: +886 6 2757575x62163; fax: +886 6 2352973. E-mail addresses: [email protected] (B.-K. Fang), [email protected] (M.-S. Ju), [email protected] (C.-C.K. Lin). 1 Tel.: +886 6 2757575x62263; fax: +886 6 2352973. 2 Tel.: +886 6 2353535x2692. In general, an IPMC consists of a proton exchange membrane (PEM) with metal electrodes on both sides. It can undergo large bending deformation in response to an electric potential applied across its thickness in aqueous environment. The main bending mechanism is the unsymmetrical swelling of PEM caused by water migration with hydrophilic cation movement. Therefore, IPMC bends toward the anode of applied electric potential [2]. Current researches are focused on the actuation behavior of IPMC, such as electrochemical reactions and mechanical properties [5,6]. Equivalent circuit models of IPMC have been developed. The researches of displacement or force feedback control have been focused on how to handle the nonlinear and time-varying mechanical characteristics of an actuated IPMC [7–9]. The researchers focus on constructing an empirical model by using mechanical responses, and apply it on small vibration control in dry condition. From the results of recent studies, design factors that can enhance the bending performance and reliability of IPMC are (1) low surface-electrode resistance, (2) high anti-oxidation, 0924-4247/$ – see front matter © 2007 Elsevier B.V. All rights reserved. doi:10.1016/j.sna.2007.03.024

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Sensors and Actuators A 137 (2007) 321–329

A new approach to develop ionic polymer–metal composites (IPMC)actuator: Fabrication and control for active catheter systems

Bo-Kai Fang a,1, Ming-Shaung Ju a,∗, Chou-Ching K. Lin b,2

a Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwanb Department of Neurology, National Cheng Kung University Hospital, Tainan 701, Taiwan

Received 29 December 2006; received in revised form 22 March 2007; accepted 31 March 2007Available online 4 April 2007

bstract

The ionic polymer–metal composite (IPMC) is one type of electro-active materials with the characteristics of low electric driving potential, largeeformation and aquatic manipulation. It is highly attractive to biomedical applications as an actuator or a sensor. The main purpose of this studyas to develop an IPMC actuator for active catheter systems.The first step was to develop a low cost and high reliability fabrication procedure to yield an IPMC actuator. In the second step, the dynamic

ehavior of the actuator was tested in an aqueous environment. An empirical model was then constructed, which consisted of a fourth-order linearystem, a nonlinear gain and a time delay. To linearize the dynamic behavior of this actuator for better actuating performance, a nonlinearityompensation method by a second-order polynomial was proposed. In the final step, the bending behavior of the constructed IPMC actuator withn open-loop and a closed-loop controller design was investigated.

The results indicated that a low cost but reliable IPMC actuator was fabricated successfully. Its production time was less than half of currentanufacturing time (more than 48 h). The bending motion at low operation frequencies was well controlled by a conventional PID controllerithout adding complicated control algorithm. Our proposed algorithm decreased the maximum overshot from 30 to 4.2%, and the steady-state

rror from 15 to 4%. Though the rise time was increased from 0.084 to 0.325 s, it was within the limit for many biomedical applications.2007 Elsevier B.V. All rights reserved.

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eywords: Ionic polymer–metal composites (IPMC); Actuator; Active catheter

. Introduction

In recent years, cardiac catheterization has been becoming aommon procedure for diagnosing or treating coronary heart dis-ases. To develop an active cardiac catheter, Guo et al. employedne type of electro-active polymers, ionic polymer–metal com-osite (IPMC), as the bending actuator with large deformationapability [1,2]. Because of its flexibility and low driving power,PMC is highly attractive as a material for actuators or sensors

n biomedical applications and for developing artificial musclesr biomimetic robots [3–5].

∗ Corresponding author. Tel.: +886 6 2757575x62163; fax: +886 6 2352973.E-mail addresses: [email protected] (B.-K. Fang),

[email protected] (M.-S. Ju), [email protected]. Lin).1 Tel.: +886 6 2757575x62263; fax: +886 6 2352973.2 Tel.: +886 6 2353535x2692.

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924-4247/$ – see front matter © 2007 Elsevier B.V. All rights reserved.oi:10.1016/j.sna.2007.03.024

trol

In general, an IPMC consists of a proton exchange membranePEM) with metal electrodes on both sides. It can undergo largeending deformation in response to an electric potential appliedcross its thickness in aqueous environment. The main bendingechanism is the unsymmetrical swelling of PEM caused byater migration with hydrophilic cation movement. Therefore,

PMC bends toward the anode of applied electric potential [2].Current researches are focused on the actuation behavior

f IPMC, such as electrochemical reactions and mechanicalroperties [5,6]. Equivalent circuit models of IPMC have beeneveloped. The researches of displacement or force feedbackontrol have been focused on how to handle the nonlinear andime-varying mechanical characteristics of an actuated IPMC7–9]. The researchers focus on constructing an empirical modely using mechanical responses, and apply it on small vibration

ontrol in dry condition.

From the results of recent studies, design factors that cannhance the bending performance and reliability of IPMC are1) low surface-electrode resistance, (2) high anti-oxidation,

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3 d Actuators A 137 (2007) 321–329

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Table 1The specifications of Nafion® 20% solution and nickel nano-powder

Property Nafion® 20% solution Nickel nano-powder

Polymer content (%) 20–22 –Water content (%) 32–36 –1-Propanol content (%) 42–46 –Viscosity 50–500 –Specific gravity (g/cm3) 0.97–0.99 8.9PS

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22 B.-K. Fang et al. / Sensors an

ompactness and flexibility of electrodes, (3) good adhesion oflectrodes with the PEM, (4) high content of water or electrolyten PEM, and (5) electrolyte with low vapor pressure [10–16]. Tochieve the above-mentioned factors, some refined methods ofabrication have been proposed, such as plating platinum or goldlectrodes on both sides of a PEM by employing impregnation-eduction technique (one kind of electroless plating art) [14],sing Flemion® or other materials instead of Nafion® as PEM15], and choosing a proper organic solvent as the electrolyte16].

The common procedures of plating platinum/gold electrodesre to roughen the PEM surfaces, and then soak it in plat-num/gold complex solution. In the next step, the PEM ismmersed in a proper reducing solution to plate electrodes onts surfaces [13]. The foregoing method offers a good way toevelop an IPMC actuator. However, the multi-plating require-ents and long chemical reaction time of those procedures

ncreases manufacturing cost. Since low cost is required for aisposable type of active cardiac catheter, as few as possibleoble metals used for the electrodes and simplified fabricationrocedures are mandatory.

In our previous work, an IPMC with silver-plated electrodesas developed, in which the adhesion of electrodes with PEMas enhanced by the pretreatment of dissolving and casting

ilver nano-powders in liquid PEM solution [17]. Moreover, aimplified stiffness model of IPMC was utilized to analyze theechanical properties of the actuator. The advantages of our

revious fabrication process were low cost and short processingime. However, the disadvantages were that oxidation of sil-er occurred easily during electrical actuation and degraded theending performance, such as deformation and slew rate.

The goals of this work were three-fold. First is to designn IPMC actuator with a low cost and high reliability manu-acturing process modified from our previous protocol [17,18].econd is to verify an empirical model formulation of the actua-

or by a series of dynamic testing in an aqueous environment. Inddition, a nonlinear compensation method is proposed to lin-arlize the nonlinear dynamic behavior of the actuator. Final iso control the bending motion of the actuator by implementing aID controller. The performance of open-loop and closed-loopontrol was compared and discussed.

. Methods

.1. IPMC fabrication principle and design

Electroless plating techniques of gold to form electrodes forPMC are classified into three types by mechanisms, i.e. autocat-lytic, galvanic displacement, and substrate-catalyzed processes19–22]. The autocatalytic plating reaction can spontaneouslyeposit metal layers on any surface of a substrate within the bath.ut the non-selective deposition and short lifetime causes con-

iderable wasting. The galvanic displacement reaction occurs

nly on a metal substrate via the redox reaction of plated metalith the substrate. The plated metal requires higher reducingotential than the substrate. The limited deposition thicknessnd porous structure are the drawbacks. The substrate-catalyzed

ac

article size (nm) – 20urface area (m2/g) – 40–60

eaction is similar to the combination of autocatalytic and gal-anic displacement reaction. It only deposits on a catalytic metalith low reducing potential but produces thicker compact depo-

ition than galvanic displacement reaction. Because of the aboveeasons, a PEM with nickel layer is fabricated as the substrateor substrate-catalyzed reaction plating.

The main procedure of IPMC fabrication was carried out inhree steps. The first was to form a composite of catalytic metalith PEM by mixing and baking nickel nano-powder with a

iquid PEM, i.e. Nafion® solution (Table 1). In order to evenlyisperse the nickel powder so that it could act as a good cat-lytic substrate, the cetyl trimethyl ammonium bromide (CTAB)as added. Besides, dimethyl formamide (DMF) was essential

o enhance the mechanical property of this composite. Subse-uently, this structure was immersed in a commercial electrolessold plating bath. Some well known substrate-catalyzed bathse.g. hypophosphite and hydrazine baths [19]), could also besed. In the bath, a gold layer was deposited on the nickel sidef the composite. The last step was to paint a thin layer of dilutedEM solution on polymer-side of the composite produced from

he previous steps so that two pieces of the composite could beonded together on the polymer-side by hot embossing.

The exact ingredients and steps of the procedure were sum-arized in the following (Fig. 1):

. Mix 0.3 g of nickel nano-powder with 1 cm3 of 20% Nafion®

solution in a glass dish of 8 cm in diameter, and bake at 50 ◦Cto form a nickel substrate. The additives in this process were6 cm3 of CTAB (0.4 g/cm3) and 1 cm3 of DMF.

. Pour 2 cm3 of 20% Nafion® solution onto the nickelsubstrate, and produce the nickel–Nafion® membrane bygradually baking from 50 to 120 ◦C.

. Cut the membrane into a piece of 6 cm × 1 cm and suspend itwithin a commercial gold plating bath (SHA-5, Sheng Hung,Taiwan) for 3 h to deposit a gold layer.

. Split membrane into two pieces, and coat some dilutedNafion® solution (5–10%) on the polymer-side of bothpieces. Then, perform hot embossing at a baking temperatureof 110 ◦C.

.2. Experimental setup [18]

To investigate the actuating performance of an IPMC actu-tor, a testing system was established (Fig. 2). The mainomponents are described in details in the following.

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B.-K. Fang et al. / Sensors and Actuators A 137 (2007) 321–329 323

Fig. 1. Fabrication process of an IPMC structure.

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Fig. 2. A sketch of experimental setup for bending performance testing.

A flexible clamp was used to hold the IPMC actuator ando transmit the electrical driving potential. A laser gauging sen-or (Banner LG10A65PU, Minneapolis, MN, USA) was usedo detect the tip displacement of the actuator without contact.he sensing range, precision, and bandwidth of the sensor were.2–50 mm, 200 �m and 450 Hz, respectively. The developmentystem for controller (dSPACE DS1104, GmBH) sent com-ands through a power amplifier circuit to drive the actuator,

nd simultaneously received the displacement signal from theaser gauging sensor. The power amplifier circuit not only pro-ided sufficient electric energy to drive the actuator, but alsovoided the coupling between the actuator and the dSPACEontrol system.

In order to maintain persistent and steady drive, the IPMCctuator was suspended and submerged, except the clipped end,n a water tank filled with saline solution to sustain water uptake.ll the experiments in this study were performed in this aqueous

nvironment. To reduce the measuring error caused by the dif-

erent refractive indices among air, glass tank and water, the tipisplacement sensed by the laser gauging sensor was calibratedy using the precision multi-axis translation stage (Fig. 3). The

ig. 3. The calibration result of the laser gauging sensor for aquatic manipula-ion.

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324 B.-K. Fang et al. / Sensors and Actu

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ig. 4. A schematic drawing of actuating IPMC to show the definition of symbolsor bending angle analysis.

alibration range was from 1 to 15 mm, and the measuring erroras lower than 0.1 mm.

.3. Definition of bending angle

Because of the sensing range limitation of the displacementensor, large tip displacements could not be measured. To cir-umvent this problem, the displacement of a point (15 mm fromhe fixed end) along the IPMC shaft was measured and the dis-

ff3i

ig. 5. Examples of fabrication results of nickel–Nafion® composites: (a) a failed cob) a good nickel–Nafion® composite produced by our recipe.

ators A 137 (2007) 321–329

lacement of the tip was estimated. It was assumed that thelipped end of IPMC actuator was perfectly fixed and the wholeovable shaft of IPMC, under the actuated state, was an ideal

rc (Fig. 4). A local bending angle, θC, could be calculated fromhe geometric relationship between the sensing displacement,d, and the distance, LC, measured from the clipped end to theetected point (Eq. (1)). The overall bending angle, θT, was esti-ated by associating θC with the curvature radius, RC (Eqs. (2)

nd (3)):

C = 2θL = 2 tan−1(

Xd

LC

)(1)

C =√

(Xd)2 + (LC)2

2(1 − sin(2θL))= LC

sin(2θL)(2)

T = sin−1(

LT

RC

)= sin−1

(sin(θC)

LT

LC

)(3)

.4. Experimental measurement, modeling, and controlemonstration

To test actuation capability of the IPMC fabricated in thistudy, an IPMC actuator with a physical dimension of 20 mm inength, 5 mm in width and 250 �m in thickness was fabricated.he laser gauging system was positioned so that the distance

rom the clamped end to the detection point was fixed at 15 mmn all the following tests.

In the first test, the actuator was driven by a series of constantlectric potentials, 0.5, 1.0, 1.5, 2.0, 2.5, and 3.0 V, respectively.he bending angle responses and currents were recorded for0 s. At the end of each test, an intermission interval of about0–30 min was allowed for recovering the actuator shape. Inhe second test, the driving potential was changed to sinusoid

orms with similar amplitudes as those the first test. The adoptedrequencies for sinusoidal driving were 0.1, 0.3, 0.5, 0.7, 1.0,.0, 5.0, 7.0, 10, 13, 15, 17, and 20 Hz. Then six sets of bend-ng frequency responses were established in the form of Bode

mposite was produced with improper proportion of nickel powder to Nafion®;

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B.-K. Fang et al. / Sensors and Actuators A 137 (2007) 321–329 325

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Fig. 6. A photo of Ni–Nafion® structure plated with gold electrode.

iagrams. From the Bode diagrams, an empirical model wasormulated, and a nonlinear compensation method was adoptedo eliminate the gain nonlinearity in the system. They will beescribed in Section 3.

To overcome the relaxation and hysteresis problems of IPMCctuator, a closed-loop PID controller, GPID(Z−1), was designedEq. (4)), in which Z−1 was a operator of Z-transform, KP, KI, andD were controller parameters and T was sampling period. The

pecifications parameters of the controller performance werevershoot percentage and steady-state error less than 10 and%, respectively. The reference trajectories were step, sinu-oid, square and triangular waves for a bending angle of 5◦ at.5 Hz:

PID(z−1) = KP + KIT (1 + Z−1)

2(1 − Z−1)+ Kd

1 − Z−1

T(4)

. Results

.1. Fabrication results

Based on the comparison between failure and success fabri-ation results of nickel–Nafion® composites shown in Fig. 5, itas observed that the composite was less prone to crack withroper proportion of nickel powder to Nafion® solution and suf-cient stir at 50 ◦C. In the next step, a compact and uniformickel–Nafion® composite was constructed as the gold platingubstrate. After the plating process, a sheet of half IPMC with

ark gold electrode was formed (Fig. 6). The approximate sheetesistance value, RS, of electrode was 2–4 � cm/cm as showny Eq. (5), where σr was the resistivity, R was the resistance, L,and t were length, width and thickness of the electrode layer,

etpa

Fig. 8. Demonstration of the IPMC actuator. The

Fig. 7. A cross-sectional SEM micrograph of the IPMC structure.

espectively.

S = σr

t= Rw

L(5)

From the cross-sectioned scanning electron microscopySEM) micrograph of an IPMC sample (Fig. 7), it was clearhat gold was mainly deposited on the outside surface of theickel layer. The overall thickness was about 250 �m, in which,he nickel and gold layers were about 15 and 5–20 �m, respec-ively. The IPMC actuator produced by our proposed fabricationrocess behaved as expected. Its performance was demonstratedy applying electric potential of 3 V at 0.1 Hz (Fig. 8).

.2. Experimental test results

From the step responses of the IPMC actuator (Fig. 9), theaximal current induced by different driving potentials was less

han 0.08 A. The induced current increased non-proportionatelyith the driving potential and the increase was larger at larger

lectric potentials, e.g. 2.5 and 3.0 V. For the bending angle,he bending magnitude increased with the amplitude of drivingotential from 0.5 to 3.0 V. The maximal bending angle wasbout 20◦. The bending angle decreased slowly over time during

driving potential is sinusoidal 3 V at 0.1 Hz.

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326 B.-K. Fang et al. / Sensors and Actuators A 137 (2007) 321–329

Fig. 9. Step responses of the IPMC actuator with constant driving potentials. Theupper diagram shows the amplitudes of driving potentials, the middle shows theit

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nduced electric currents, and the bottom shows the bending angles in responseo the driving potentials.

he phase of constant driving potential and the decrease was morevident in higher driving potentials.

The frequency responses of bending angle, in the form ofode diagrams, are shown in Fig. 10. All the curves showed

wo resonant peaks at 3–4 and 18–20 Hz, and their phase plotsere almost identical, and the maximal phase was about 500◦.oreover, the plot also revealed that the bending angles in

esponse to unit driving potential at different driving ampli-udes were different. To eliminate this inequality, a curve wasonstructed according to the relationship between the averaged

aximal bending angles and driving potentials in the range of

.1–1.0 Hz (Fig. 11). The curve was fitted with a second-orderolynomial.

ig. 10. Bode diagrams of the IPMC actuator with different amplitudes of driv-ng potentials. The upper diagram shows the amplitudes and the bottom showshe phases.

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ig. 11. A curve of mean maximal bending angles in response to driving fre-uencies from 0.1 to 1.0 Hz.

.3. Empirical model and bending angle control

From the experimental results mentioned aboveFigs. 9 and 10), the empirical model consisted of a transferunction T(s), a time-delay term e−τ(f)s and a nonlinear gain

Vθ(V(t)), in which τ was time delay and V(t) was drivingotential. T(s) was unknown but modeled as a linear systemith fourth or higher order on the basis of two resonant peaks

hown in Fig. 10. The time-delay term, e−τ(f)s, was neglectedecause of low driving frequency in our applications, andVθ(V(t)) was estimated from the curve in Fig. 11 (Eq. (6)):

Vθ(V (t)) ≈ 0.8345V 2 + 3.6902V (6)

The feedback control design was shown in the block dia-ram (Fig. 12), in which θr(t) and θp(t) were reference input andeasured bending angle of IPMC actuator. And the inverse ofVθ(V(t)), H−1

Vθ (θ(t)), was estimated from the curve in Fig. 11Eq. (7)). It was a compensation term utilized to neutralize

Vθ(V(t):

−1Vθ (θ(t)) ≈ −0.0029θ2 + 0.2122θ (7)

The results of open-loop and closed-loop control actuatedith step reference input 5◦ were shown in Fig. 13. The open-

oop controller with the nonlinearity compensation term showedhat the maximum overshot was about 30%, the steady-state erroras about 15%, and the rise time was about 0.084 s. On thether hand, the PID closed-loop controller (KP = 0.4, KI = 0.8nd KD = 0.08) decreased the maximum overshoot percentagend the steady-state error to 4.2 and 4%, respectively. Yet, theise time was prolonged to 0.325 s. The low frequency responsesf the open-loop controller are shown in Fig. 14. The tracking

rror was smaller for the sinusoidal reference input. On the con-rary, the bending angle responses in the closed-loop controlleronformed to the reference input trajectories well (Fig. 15). Ineneral, the errors of closed-loop controller were smaller.

ig. 12. The block diagram of feedback control and empirical model formula-ion.

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B.-K. Fang et al. / Sensors and Actuators A 137 (2007) 321–329 327

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ig. 13. Comparison between the performance of open-loop and closed-loopontrollers in response to 5◦ step reference input. The upper diagram shows thepen-loop control result, and the bottom shows the closed-loop control result.

. Discussion

.1. Fabrication

From the fabrication results shown in Fig. 5, internal stressas likely the main factor causing cracks. A Nafion® membraneas a large strain property along with abundant water content.ence, an improper compound proportion of nickel to Nafion®

ight cause the composite to crack with uneven internal stressistribution. With more powder and less Nafion® solution, theomposite might crack due to insufficient stickiness. With lessowder and more Nafion® solution, the nickel layer was prone to

ave many pinholes that would decrease the electric conductivityf gold layer to be plated in subsequent steps. These were theeasons to separate the fabrication procedure of nickel-IPMCubstrate into first step of more powder but less Nafion® solution

ig. 14. The open-loop control results in low actuating frequency, in response toinusoidal (upper), square (middle), and triangular (bottom) inputs, respectively.

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ig. 15. The closed-loop control results in low actuating frequency, in responseo sinusoidal (upper), square (middle), and triangular (bottom) inputs, respec-ively.

nd second step of less powder but more Nafion® solution. Afterhe gold plating step, the surface of gold electrode was coveredith a thin residual Nafion® polymer (Fig. 6). The thin Nafion®

ayer could be easily scraped to expose the underneath goldurface for conducting electric driving potential.

The production time of the fabrication procedure proposedn this work was less than 24 h. It was just 50% of the time forhe existing manufacturing procedures in the literature (morehan 48 h) [2]. The possible causes of shorter production timesncluded: (1) the nickel layers on IPMC effectively decreased theater effusion, so that thick gold electrodes was not required;

2) in general, the substrate-catalyzed plating was faster thanmpregnation-reduction plating. The cost of gold plating in thisork was also less than most of the existing manufacturingrocedures without sacrificing the plating quality.

.2. Testing, modeling, and control

Based on the experimental results shown in Fig. 9 and dataf other literatures [6–9], IPMC actuators were nonlinear andime-varying systems. Yet, the aqueous manipulation alleviatedhe response relaxation problem. The reasons might be the distri-ution of electric field lines, and the gradient variation of cationoncentration. The intensity of electric field was increased alongith raising the driving potential, and more cations with water

ccumulated at one side of IPMC and cause the actuator toeform. However, the deformation might also change the distri-ution of electric field, and the cations with water might effuseut from the surface pores of the expanding side. Because ofhis interaction, the cation distribution in IPMC associated withn electric field was a very complex nonlinear phenomenon, andhe effusion of cations with water resulted in the relaxation (drift

ith time) phenomenon.According to the Bode diagram (Fig. 10), the second peak

esonant frequency was ∼5–6 times of the first peak resonantrequency, and the slopes of the magnitude plot between two

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eaks were about −40 dB/decade. It implied that the actuatorynamic behavior could be approximated by a second-order sys-em, even though the damping ratios were different in differentriving potentials. Therefore, it was expected to have a good per-ormance by implementing a PID feedback controller. However,hase-lag/time delay, as shown in the phase plot, might causehe closed-loop control to become unstable at higher actuatingrequencies. The feasible actuating frequency range was initiallyet at less than 1 Hz.

From the averaged maximal bending angle exhibited inig. 11, the nonlinear gain of the empirical model could be esti-ated and compensated by inverting the estimated nonlinear

ain curve. The nonlinear behavior of the actuator was mostlyompensated, as shown by the results of open-loop control withonstant and low frequency command (Figs. 13(top) and 14).he bending angles approached the reference trajectorieslosely. Yet, closed-loop control was still necessary to overcomehe bending angle drift problem and to regain zero state position.

In contrary to the empirical models that other studies con-tructed in the air state and might behave different from the actualperation condition, the model in this study was constructed forqueous manipulation. So the states of cation concentration andater content in actuator were controlled. Therefore, the reliabil-

ty of the model formulation was higher than in dry environment.fter compensating the nonlinear effect by a second-order poly-omial approximation, a PID controller effectively achieved theontrol goal. Using the nonlinearity compensation could reducehe cost of controller design. Despite the time-delay problemas not treated, the IPMC actuator could work in low frequency

ange as shown by the control results (Figs. 13 and 15).For the development of an active catheter system, shape mem-

ry alloy (SMA) and magnetic types of actuators have beenroposed but were found to have some drawbacks, e.g. highlyemperature dependency, requirements of sophisticated manu-acturing and driving equipments. On the contrary, the IPMCctuator has the potentials of large bending range, high control-ability, low heat generation, and easy manufacturing. Therefore,t has a great potential to be implemented as an active cathetern the future.

In spite that both the model and the controller were simplend conventional, the test results indicated that the performancef the model and the controller was good. Actually, we think onef our main contributions was to be able to reduce the complexystem into a simpler one so that it could be controlled by aimple controller. In the future, for applications demanding aigher frequency band of operation, we plan to construct a morerecise dynamic model and employ a robust controller for theending motion control.

. Conclusion

A low cost and reliable IPMC actuator applicable to theevelopment of disposable active cardiac catheter was designed

nd fabricated successfully. A proper proportion of nickelowder with Nafion® solution was required to synthesize aickel–Nafion® substrate. An empirical model of the IPMCctuator for aqueous manipulation was constructed. The model

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onsisted of a fourth-order transfer function, a nonlinear gainnd a time-delay term. Its parameters were varied with driv-ng potential, operating time and frequency. With the nonlinearompensation method proposed in this work, the model was lin-arlized and the actuator performed well under the conventionalID closed-loop controller in bending angle control experi-ents.

cknowledgement

This work is supported by grant from ROC National Scienceouncil (NSC-95-2221-E-006-009-MY3).

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iographies

o-Kai Fang received the BSc and MSc degrees in mechanical engineering fromational Cheng Kung University (NCKU), Tainan, Taiwan, ROC, in 2003 and

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005, respectively. He is currently a PhD student in mechanical engineering atCKU. His research interests include the development of active catheter system,EMS fabrication, and controller design.

ing-Shaung Ju was born in 1956. He received the BSc and MSc degrees inechanical engineering from National Cheng Kung University (NCKU), Tainan,aiwan, ROC, in 1978 and 1982, respectively, and the PhD degree in mechanicalngineering from Case Western Reserve University, Cleveland, OH, USA, in986. In 1987, he joined the Faculty of Mechanical Engineering Departmentt NCKU, where he has been an associate professor and become a professorn 1993. He has worked in biomechanics, biocybernetics, mechatronics and

icro-electromechanical systems for biomedical engineering applications.

hou-Ching K. Lin received a bachelor degree of medicine from Nationalang-Ming University, Taipei, Taiwan in 1988 and an MSc and PhD iniomedical engineering from Case Western Reserve University, Cleveland,H, USA in 1994 and 1997, respectively. He, passing Taiwan Neurology

ant professor in Department of Neurology, Medical Center, National Chengung University, Tainan, Taiwan. His areas of interest include functional

lectrical stimulation, neuro-rehabilitation, neural electrophysiology and nerveegeneration.