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A2) Consider the system 21 *)-[² ] ×0)-[1]) X(t) = y(t) = [2 0]x(1) and the control law u(t)=g w(1)-Kx(1) where w() is the setpoint. Find feedback gain vector K using Ackermann's formula so that the closed-loop system has its poles at s = -1 and find the scalar gain g so that the closed-loop system has zero steady state error to a step input.

A2) Consider the system 21 *)-[² ] ×0)-[1]) X(t) = y(t) = [2 0]x(1) and the control law u(t)=g w(1)-Kx(1) where w() is the setpoint. Find feedback gain vector K using Ackermann's formula so that the closed-loop system has its poles at s = -1 and find the scalar gain g so that the closed-loop system has zero steady state error to a step input.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A2) Consider the system x(t) = and the control law 2 u(t), y(t) = [2 0]x(1) u(t)= gw(1)-Kx(t) where w() is the setpoint. Find feedback gain vector K using Ackermann's formula so that the closed-loop system has its poles at s = -1 and find the scalar gain g so that the closed-loop system has zero steady state error to a step input.
Transcribed Image Text:A2) Consider the system x(t) = and the control law 2 u(t), y(t) = [2 0]x(1) u(t)= gw(1)-Kx(t) where w() is the setpoint. Find feedback gain vector K using Ackermann's formula so that the closed-loop system has its poles at s = -1 and find the scalar gain g so that the closed-loop system has zero steady state error to a step input.
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