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Q1. Consider a system defined in state-space by dx (t) dt where A = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t) [1 3 -2 2]. B=[2]. C=[13], and D=0 a) Obtain the transfer function G(s) of the system. Is the system stable? = Equation (1) b) Carry out a controllability test and design a state feedback controller for the system given by Equation (1). Place the poles at -2 +j1 rad/s and -2 -j1 rad/s.

Q1. Consider a system defined in state-space by dx (t) dt where A = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t) [1 3 -2 2]. B=[2]. C=[13], and D=0 a) Obtain the transfer function G(s) of the system. Is the system stable? = Equation (1) b) Carry out a controllability test and design a state feedback controller for the system given by Equation (1). Place the poles at -2 +j1 rad/s and -2 -j1 rad/s.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1. Consider a system defined in state-space by dx(t) dt = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t) where =[! [2]. C=[13], and D=0 a) Obtain the transfer function G(s) of the system. Is the system stable? A = 13 02 Equation (1) B b) Carry out a controllability test and design a state feedback controller for the system given by Equation (1). Place the poles at -2 +j1 rad/s and -2 -j1 rad/s.
Transcribed Image Text:Q1. Consider a system defined in state-space by dx(t) dt = Ax(t) + Bu(t) y(t)=Cx(t)+Du(t) where =[! [2]. C=[13], and D=0 a) Obtain the transfer function G(s) of the system. Is the system stable? A = 13 02 Equation (1) B b) Carry out a controllability test and design a state feedback controller for the system given by Equation (1). Place the poles at -2 +j1 rad/s and -2 -j1 rad/s.
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