2.Consider the following electrical system:RUcC =iThe equations describing the system dynamics are the following:di(t)+(R, + R, )i(t)+u (t)dtu(t) = L-c du (t)C-= i(t)dtChoose as state variables: x, (t) =u¸(t) and x, (t) = i(t).%DObtain the following state space model1+ 1 u1R + R, Lx2Ly = [1 0]+ OuX2and calculate the system matrices for L = 1, R1 = 1, R2 = 1and C = 0.5.From the state space model obtain the transfer function of the system.By using controllability gramian, check if the system representation R(A,B,C) iscontrollable.||

Answered: Image /qna-images/answer/52907778-f829-4763-a8ad-971cfa266e40.jpg

2. Consider the following electrical system: R, i C= Uc The equations describing the system dynamics are the following: u(t) = L- di(t) +(R, + R, )i(t)+u̟(t) dt du (t) = i(t) dt Choose as state variables: x, (t) =u_(t) and x,(t)=i(t). Obtain the following state space model 1 C R, + R, Lx2. y = [1 0] + Ou X, 1, R1 = 1, R2 = 1and C = 0.5. From the state space model obtain the transfer function of the system. By using controllability gramian, check if the system representation R(A,B,C) is and calculate the system matrices for L = controllable.

2. Consider the following electrical system: R, i C= Uc The equations describing the system dynamics are the following: u(t) = L- di(t) +(R, + R, )i(t)+u̟(t) dt du (t) = i(t) dt Choose as state variables: x, (t) =u_(t) and x,(t)=i(t). Obtain the following state space model 1 C R, + R, Lx2. y = [1 0] + Ou X, 1, R1 = 1, R2 = 1and C = 0.5. From the state space model obtain the transfer function of the system. By using controllability gramian, check if the system representation R(A,B,C) is and calculate the system matrices for L = controllable.

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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