Routh Stability Test :: Solved Examples

Problem.01.

Examine the stability of the characteristics equation :

s⁵ + 2 s⁴ +4 s³ +8 s² +3 s + 1 = 0

using routh's criteria.

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Problem.02.

For the system given Below write down the characterictics equation with the help of the routh test, comment on the stability for kc = 4  . Also find the value of kc for which the system is unstable

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Problem.03.

The open loop transfer function of the control system is given as ::

           G(s) =    K_c(s + 1)      

                     S (s + 2) (s + 3)

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Problem.04.

By the means of Routh test determine the stability of the system when kc = 2.0

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Problem.05.

For the control system in Fig, determine the value of K above which the system is unstable.

Determine the value of K for which two of the roots are on the imaginery axis and determine the values of these imaginery roots and the remaining roots.

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Problem.06.

A control system is represented by the means of a block diagram as shown in the fig.

Comment on the stability of the system.

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Problem.07.

Consider the following feedback control system and make stability analysis with routh criterion, Find the critical stability conditions when Ţ_{i  = 0.1}

S³ + 2 s ²(2 + K_c) s + K_c/Ţ_i = 0

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