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Q.5 For the system i = x + 0 2*+ lol 4,y = 2x,, answer lhe 1) Diagonalize the system. 2) Design a state observer for the system in the diagonal form assuming the desired observer poles as s, = - 5,s2 =-10. 3) Show that the observer error dynamics is given by è = (A- KC)e, where e = x-i.

Q.5 For the system i = x + 0 2*+ lol 4,y = 2x,, answer lhe 1) Diagonalize the system. 2) Design a state observer for the system in the diagonal form assuming the desired observer poles as s, = - 5,s2 =-10. 3) Show that the observer error dynamics is given by è = (A- KC)e, where e = x-i.

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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Q.5 For the system i = x + u,y 2x1, answer the following: !! 1) Diagonalize the system. 2) Design a state observer for the system in the diagonal form assuming the desired observer poles as s, = - -5,s2%3D10. 3) Show that the observer error dynamics is given by è = (A - KC)e, where %3D e = x-i. 4) Design a state feedback controller for the system in the diagonal form such that the closed-loop poles are 1, = - - 3,12 = - 3.5 %3D
Transcribed Image Text:Q.5 For the system i = x + u,y 2x1, answer the following: !! 1) Diagonalize the system. 2) Design a state observer for the system in the diagonal form assuming the desired observer poles as s, = - -5,s2%3D10. 3) Show that the observer error dynamics is given by è = (A - KC)e, where %3D e = x-i. 4) Design a state feedback controller for the system in the diagonal form such that the closed-loop poles are 1, = - - 3,12 = - 3.5 %3D
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