Consider two systems with loop transfer functions given by: z -1 z2 + 0.1z 1. L1(2) = (z + 0.8)(z – 0.5) L2(2) = (a) Sketch the root locus for both systems. (b) Find the exact pole locations of the closed-loop systems when K = 0.2. (c) Find the sketch the impulse response of each closed loop system when K = 0.2. (d) When K = 0.2, are the systems identical? Why or why not?

Consider two systems with loop transfer functions given by: z -1 z2 + 0.1z 1. L1(2) = (z + 0.8)(z – 0.5) L2(2) = (a) Sketch the root locus for both systems. (b) Find the exact pole locations of the closed-loop systems when K = 0.2. (c) Find the sketch the impulse response of each closed loop system when K = 0.2. (d) When K = 0.2, are the systems identical? Why or why not?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Solve all parts.

Consider two systems with loop transfer functions given by:
z -1
z2 + 0.1z
1.
L1(2) =
(z + 0.8)(z – 0.5)
L2(2) =
(a) Sketch the root locus for both systems.
(b) Find the exact pole locations of the closed-loop systems when K = 0.2.
(c) Find the sketch the impulse response of each closed loop system when K = 0.2.
(d) When K = 0.2, are the systems identical? Why or why not?

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