# The transfer function of a dynamic system is given by [G(s)=frac{20 s+50}{s^{3}+10 s^{2}-5 s-30}] a. Using Routh's

## Question:

The transfer function of a dynamic system is given by

\[G(s)=\frac{20 s+50}{s^{3}+10 s^{2}-5 s-30}\]

**a.** Using Routh's stability criterion, determine the stability of the open-loop system.

**b.** Suppose that a negative unity feedback is applied to this open-loop system. Using Routh's stability criterion, determine the stability of the resulting closed-loop system.

**c.** Using MATLAB, solve for the poles of the open and closed-loop systems and verify the results obtained in Parts (a) and (b).

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**Related Book For**

## Modeling And Analysis Of Dynamic Systems

**ISBN:** 9781138726420

3rd Edition

**Authors:** Ramin S. Esfandiari, Bei Lu