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Consider the following electrical system: R₁ L The equations describing the system dynamics are the following: di(t) u(t)=L +(R₂ + R₂)i(t)+u (1) dt cdu. (t)= i(t) dt 0 Choose as state variables: x₁ (t)= u(t) and x₂(t)=i(t). Obtain the following state space model 1 с 1_R₁ + R₂₁ | [X₂ L C- Uc R₂ xq y=[10] Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 2d1= -1 and 2d1 = -2 . .Design a reduced-order state observer with desired poles 2 = -2 +Ou

Consider the following electrical system: R₁ L The equations describing the system dynamics are the following: di(t) u(t)=L +(R₂ + R₂)i(t)+u (1) dt cdu. (t)= i(t) dt 0 Choose as state variables: x₁ (t)= u(t) and x₂(t)=i(t). Obtain the following state space model 1 с 1_R₁ + R₂₁ | [X₂ L C- Uc R₂ xq y=[10] Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 2d1= -1 and 2d1 = -2 . .Design a reduced-order state observer with desired poles 2 = -2 +Ou

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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Can you solve and explanine the points in the blue box?

L = 0.5 ; R1 = 1; R2 = 1; C = 1

Consider the following electrical system: R₁ L The equations describing the system dynamics are the following: di(t) u(t)=L +(R+R₂)i(t)+u(t) dt cdu. (1)= i(t) dt C- Uc R₂ Choose as state variables: x₁ (t)= u(t) and x₂(t)=i(t). Obtain the following state space model 1 C 1_R₁ + R₂₁ | [X₂ L y=[10] Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 2d1= -1 and 2d1 = -2 . .Design a reduced-order state observer with desired poles 2 = -2 +Ou
Transcribed Image Text:Consider the following electrical system: R₁ L The equations describing the system dynamics are the following: di(t) u(t)=L +(R+R₂)i(t)+u(t) dt cdu. (1)= i(t) dt C- Uc R₂ Choose as state variables: x₁ (t)= u(t) and x₂(t)=i(t). Obtain the following state space model 1 C 1_R₁ + R₂₁ | [X₂ L y=[10] Design a state feedback u(t) = -Kx(t), which will place the closed-loop poles on desired locations: 2d1= -1 and 2d1 = -2 . .Design a reduced-order state observer with desired poles 2 = -2 +Ou
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