Solutions Manual for Automatic Control Systems – 10th Edition by (Golnaraghi, 2018) | All 10 Chapters Covered

All Chapters Covered




SOLUTION MANUAL

,Automatic Control Systems, 9th Edition
A Chapter 2 Solution
ns Golnarraghi, Kuo


C
Chapter 2

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

Zeross: s = −2, ∞, ∞, ∞. Zeros: s = 0.

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




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

Zeross: s = −2.




2
2-2) a)


b)


c)



2
2-3)

M
MATLAB code
e:


2‐1

,Automatic Control Systems, 9th Edition 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)

2‐2

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




Poles and zeros of the above functions:

(a)

Poles: 0 0 ‐10 ‐1

Zeros: ‐2

(b)

Poles: ‐2.0000 ‐2.0000 ‐1.0000

Zeros: 0 ‐1

(c)

Poles:

0

‐1.0000 + 1.0000i

‐1.0000 ‐ 1.0000i

Zeros: ‐2

Generated transfer function:

(d) using first order Pade approximation for exponential term

Poles:

0

‐2.0000

‐1.0000 + 0.0000i

‐1.0000 ‐ 0.0000i



Zeros:

1




2‐3