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Design a state feedback u(t)=-Kx(t), which will place the closed-loop poles on desired locations: λ = -2 and 2 = −3. By using observability matrix, check if the system representation R(A, B, C) is observable. Design a reduced-order state observer with desired poles ª = -3.

Design a state feedback u(t)=-Kx(t), which will place the closed-loop poles on desired locations: λ = -2 and 2 = −3. By using observability matrix, check if the system representation R(A, B, C) is observable. Design a reduced-order state observer with desired poles ª = -3.

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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Consider the following electrical system: R L C= Uc The equations describing the system dynamics are the following: di(t) и(t) — L- +(R, + R, )i(t)+u.(t) dt du (t) C- = i(t) dt Choose as state variables: x, (t) =u¸(t) and x,(t) = i(t). 2.
Transcribed Image Text:Consider the following electrical system: R L C= Uc The equations describing the system dynamics are the following: di(t) и(t) — L- +(R, + R, )i(t)+u.(t) dt du (t) C- = i(t) dt Choose as state variables: x, (t) =u¸(t) and x,(t) = i(t). 2.
Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 24 = -2 and 2d = -3. 2 and 14 By using observability matrix, check if the system representation R(A,B,C) is observable. Design a reduced-order state observer with desired poles 2d = -3 .
Transcribed Image Text:Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 24 = -2 and 2d = -3. 2 and 14 By using observability matrix, check if the system representation R(A,B,C) is observable. Design a reduced-order state observer with desired poles 2d = -3 .
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