Solution Manual for Automatic Control Systems (10th Edition) by Farid Golnaraghi and Benjamin C. Kuo

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SOLUTION MANUAL

,, 9th Edition
Automatic Control Systems Chapter 2 Solutions Golnaraghi, Kuo


Chapter 2

2‐1 (a) Poles: s = 0, 0, −1, −10; (b) Poles: s = −2, −2;

Zeros: s = −2, , , . Zeros: s = 0.

The pole and zero at s = −1 cancel each other.




(c) Poles: s = 0, −1 + j, −1 − j; (d) Poles: s = 0, −1, −2, .

Zeros: s = −2.




ሺ௦ ଵሻ
2-2) a) ‫ܩ‬ሺ‫ݏ‬ሻ ൌ
௦ሺ௦ ଶሻሺ௦ ଷሻమ


b) ௦మ ሺ௦ ଵሻሺ௦ ସሻ
‫ܩ‬ሺ‫ݏ‬ሻ ൌ
௦మ ଵ
c) ௦మሺ௦ ଷሻሺ௦ ଵሻమ
‫ܩ‬ሺ‫ݏ‬ሻ


ൌ




2‐1

,, 9th Edition
Automatic Control Systems Chapter 2 Solutions Golnaraghi, Kuo

2-3)

MATLAB code:




2‐2

, , 9th Edition
Automatic Control Systems Chapter 2 Solutions Golnaraghi, Kuo


clear all;

s = tf('s')



'Generated transfer function:'

Ga=10*(s+2)/(s^2*(s+1)*(s+10))

'Poles:'

pole(Ga)

'Zeros:'

zero(Ga)



'Generated transfer function:'

Gb=10*s*(s+1)/((s+2)*(s^2+3*s+2))

'Poles:';

pole(Gb)

'Zeros:'

zero(Gb)



'Generated transfer function:'

Gc=10*(s+2)/(s*(s^2+2*s+2))

'Poles:';

pole(Gc)

'Zeros:'

zero(Gc)



'Generated transfer function:'

Gd=pade(exp(-2*s),1)/(10*s*(s+1)*(s+2))

'Poles:';

pole(Gd)

'Zeros:'

zero(Gd)

2‐3