Homework 5

1

Homework 5

Problem 1

Using the Routh criterion, determine the stability of the closed-loop system that

has the following characteristic equations. Determine the number of roots of

each equation that are in the right-half s-plane or on the j-axis.

1. 3 220 9 100 0s S s

2. 4 3 23 10 5 2 0s s S s

Problem 2

The forward transfer functions of the unity feedback system are as follows:

1. ( )( 1)(0.2 1)

KG s

s s s

2. ( 1)

( )( 1)(0.2 1)

K sG s

s s s

Determine the critical value of K for stability