# Roughly sketch the root locus with respect to (K) for the equation of (1+K L(s)=0) and the

## Question:

Roughly sketch the root locus with respect to \(K\) for the equation of \(1+K L(s)=0\) and the following choices for \(L(s)\). Make sure to give the asymptotes, arrival or departure angles, and points crossing the imaginary axis. Verify your results using MATLAB.

**a.** \(L(s)=\frac{1}{(s+1)(s+3)}\)

**b.** \(L(s)=\frac{1}{(s+1)(s+3)(s+7)}\)

**c.** \(L(s)=\frac{s+5}{(s+1)(s+3)(s+7)}\)

**d.** \(L(s)=\frac{s(s+5)}{(s+1)(s+3)(s+7)}\)

## Step by Step Answer:

**Related Book For**

## Modeling And Analysis Of Dynamic Systems

**ISBN:** 9781138726420

3rd Edition

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