7/27/2019 corrected Matlab Assignment

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Assignment No1

Solution 1:

Program:

prompt = 'Enter the value of k = ';

k = input(prompt);

num=[0 0 160*k 2880*k 2720*k];

den=[1 180 (1700+160*k) 2880*k 2720*k];

step(num,den);

grid;

title('Step Response');

sys = tf([0 0 160*k 2880*k 2720*k],[1 180 (1700+160*k) 2880*k 2720*k]);

S = stepinfo(sys,'RiseTimeLimits',[0.05,0.95])

Result:

Enter the value of k = 3

S =

RiseTime: 0.3419

SettlingTime: 2.4192

SettlingMin: 0.9543

SettlingMax: 1.1508

Overshoot: 15.0815

Undershoot: 0

Peak: 1.1508

PeakTime: 0.7539

Output plot is attached below:

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0 0.5 1 1.5 2 2.5 3 3.50

0.2

0.4

0.6

0.8

1

1.2

1.4

Step Response

Time (sec)

Amplitude

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Ans 2:

a)

num=[0 0 10];

den=[1 2 10];

step(num,den);

grid;

title('Step Response');

b)

num=[0 0 10];

den=[1 2 10];

impulse(num,den);

grid;

title('Impulse Response');

c)

num=[0 10 0];

den=[1 2 10];

t=0:0.1:7;

c=step(num,den,t);

plot(t,c,'o',t,t,'--');

grid;

title('Ramp Response');

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0 1 2 3 4 5 60

0.2

0.4

0.6

0.8

1

1.2

1.4

Step Response

Time (sec)

Amplitude

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0 1 2 3 4 5 6 7-1

0

1

2

3

4

5

6

7Ramp Response

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Ans 3:a)A=[-1 -0.5; 1 0];

B=[0.5; 0];

C=[1 0];

D=[0];

step(A,B,C,D);

grid;

title('Step Response');

b)

A=[-1 -0.5; 1 0];

B=[0.5; 0];

C=[1 0];

D=[0];

impulse (A,B,C,D);

grid;

title('Impulse Response');

c)

A=[-1 -0.5; 1 0];

B=[0.5; 0];

C=[1 0];

D=[0];

[n,e]=ss2tf(A,B,C,D);

t=0:0.1:7;

c=step(n,e,t);

plot(t,c,'o',t,t,'--');

grid;

title('Ramp Response');

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0 2 4 6 8 10 12 14-0.05

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

Step Response

Time (sec)

Amplitude

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0 1 2 3 4 5 6 7 8 9 10-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5

Impulse Response

Time (sec)

Amplitude

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0 1 2 3 4 5 6 7-1

0

1

2

3

4

5

6

7Ramp Response