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Automatic Control Systems (10th Edition) by Farid Golnaraghi and Benjamin C. Kuo – Complete Solutions Manual for Control Systems Exercises

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This solutions manual provides detailed, step-by-step solutions to the problems in Automatic Control Systems, Tenth Edition by Farid Golnaraghi and Benjamin C. Kuo. It covers key topics including modeling of control systems, feedback control, transfer functions, stability analysis, time and frequency domain analysis, root locus, and controller design techniques. The guide helps students understand mathematical derivations, system dynamics, and practical problem-solving approaches in electrical, mechanical, and mechatronic engineering courses. It is designed to support homework verification, exam preparation, and deeper mastery of automatic control systems principles.

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Automatic Control Systems
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Automatic Control Systems

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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

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