EXAMINATION BRANCHQUESTION BANK

Name of the branch: EEE Year & Sem:IV & II

Name of the subject: ADVANCED CONTROL SYSTEM

Name of the faculty, Designation & Mobile number: P.ODELU YADAV, ASSOC PROF

9441240622

Date of Examination: Academic Year: 2015-16

UNIT-I

S.N0

QUESTIONAPPEARED

IN (R05,R07, R09, R13)

MARKS Assigned

1Suppose if the system equations are known in Jordan form. How do you test the properties of controllability? Explain using a state model

   

2Explain the effect of state feedback on controllability and observability

   

3

Consider the system defined by Y (s)/U(s) = b0 sn+b1 sn-1-----+bn-1s+bn/(s+p1)3(s+p3) (s+p5)-------(s+pn) Obtain the Jordan canonical form of state space representation for this system

   

4

Consider the following transfer function Y (s)/U(s) =s+6/s2+5s+6. Obtain the state space Representation of the system in (a) Controllable canonical form and (b) Observable canonical form    

5A feedback system has a closed loop transfer function C(s)/U(s) = 10(s+4)/s(s+1) (s+3). Construct Three different state models for this system and give block diagram representation For each state model     

6State the advantages of state space design     

7 Explain how integral control helps in robust tracking with the help of state model Of system     

8The solution of state transition matrix without excitation     

9The solution of state transition matrix with excitation

     

10 Properties of state transition matrix

     

11 Obtain the state model of the system whose transfer function is given as y(s)/u(s) =10/s3+4s2+2s+1 in controllable canonical form     

12Obtain the state model of the system whose transfer function is given as

y(s)/u(s)=2(S+5)/((S+2)(S+3)(S+4)) in diagonal or partial fraction canonical form     

13 Obtain the state model of the system whose transfer function is given as y(s)/u(s)=Z+1/Z2+1.3Z+0.4 in controllable canonical form     

14 Obtain the state model of the system whose transfer function is given as y(s)/u(s) =Z+1/Z2+1.3Z+0.4 in observable and diagonal canonical form     

15

Obtain the state space representation of system described by the equation y (k+2) + y (k+1) +0.16y(k)=u(k+1)+2u(k).

     UNIT-II

S.N0

QUESTION

APPEARED IN

(R05,R07, R09, R13)

MARKS Assigned

1 Find the canonical state models for the following transfer function of a system S(s+3)/(s+1)(s+3)(S+6)  R07  16

2What are the advantages and disadvantages in kalman’s test for controllability and observability

R07  16 

3State and explain controllability and observability?    

4

Explain the effect of state feedback on controllability and observability

5

Derive the condition for complete state controllability?

6

Derive the condition for complete state observability?  OR  

7State the basic theorem for determining the concept of controllability ofTime varying system utilizing state transition matrix. Explain the same R07  8 

8

State and explain the principle of duality?

9Derive the controllable canonical form for the following transferfunction

R07   8

10

R09   16

11

   

12

 

 R07  1613    

14

     

15

     

UNIT-III

S.N0

QUESTION

APPEARED IN

(R05,R07, R09, R13)

MARKS Assigned

1Discuss the characteristics of non -linear system.

 R07  162 List out the types of non-linearity’s are to be found in practical control

System. Explain in detail R07  16 

3 Write short notes on sub harmonics oscillations and self excited oscillations  

4Derive the describing function of saturation non -linearity.

5Derive the describing function of dead zone non-linearity

6Derive the describing function of relay with dead zone.  

 

7

Derive the describing function of on-off non-linearity.    

8Derive the describing function of an on-off non-linearity withHysteresis.

9Derive the describing function of dead zone and saturation of non-Linearity.

   

10

Explain about the stability analysis with describing function.    

11

For the control system shown in figure 1, plot the phase trajectory.

  R07  16 

12

Explain the following singular points:i. Nodal pointii. Saddle pointiii. Focus pointiv. Centre point     

13 R07   16

14

A second order servo containing a relay with dead-zone and hysteresis is shown in figure 2. Construct the phase trajectory of the system with initial conditions e(0)= 0.65 and e(0) = 0  1.5

 R09  1615    

UNIT-IV

S.N0

QUESTION

APPEARED IN

(R05,R07, R09, R13)

MARKS Assigned

1 Describe analytic method of drawing Phase plane trajectory and alsoWrite procedure for phase plane trajectory.

 R07  16

2Discuss Phase Trajectory?

R07  16 

3

Discuss phase portrait?   

4What are Singular points? Explain the classification of singular pointsBased on the location of Eigen values of the system.

5

Explain about the control system with linear gain and show the input

6

Describe the delta method of drawing phase plane trajectory

7

Describe the isoclines method of drawing phase plane trajectory

8

Enumerate the design steps for pole placement R09 8

9 Prove Ackermann’s formula for the determination of the state feedback gain matrix `K’.

R09   8

10

What are the factors required to design of an optimal control problem    

11

Discuss the state regulator problem in the design of optimal controller     

12

What are the differences in stability analysis of linear and non linear      

13

How limit cycles are determined from phase portrait     

14

What are the methods available for constructing phase trajections     

15

Describe the limit cycles in phase portrait