Consider a system -2 A 1=[¯² __Q,₁]; B = [H]; C = [1_0] Determine the gain matrix K required to realize the closed-loop characteristic equation with zeros that have the damping ratio (= 0.707, time constant t= 1 s and sampling time, T = 0.5 S.

Consider a system -2 A 1=[¯² __Q,₁]; B = [H]; C = [1_0] Determine the gain matrix K required to realize the closed-loop characteristic equation with zeros that have the damping ratio (= 0.707, time constant t= 1 s and sampling time, T = 0.5 S.

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

Consider a system
A = [3
-2
0
9] B =
= [₁]; C = [10]
Determine the gain matrix K required to realize the closed-loop characteristic equation with
zeros that have the damping ratio = 0.707, time constant t= 1 s and sampling time, T = 0.5
S.

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