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Consider the following electrical system:    a) Obtain the following state space model and calculate the system matrices for L= 1, R1= 0.5, ?2 = 0.5 and C=1.

Consider the following electrical system:    a) Obtain the following state space model and calculate the system matrices for L= 1, R1= 0.5, ?2 = 0.5 and C=1.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Consider the following electrical system: 

 

a) Obtain the following state space model and calculate the system matrices for L= 1, R1= 0.5, ?2 = 0.5 and C=1. 

R C= Uc u R] The equations describing the system dynamics are the following: di(t) u(t) = L +(R, + R, )i(t) +u_(t) dt , du (t) = i(t) dt Choose as state variables: x, (t)=u¸(t) and x, (t) = i(t).
Transcribed Image Text:R C= Uc u R] The equations describing the system dynamics are the following: di(t) u(t) = L +(R, + R, )i(t) +u_(t) dt , du (t) = i(t) dt Choose as state variables: x, (t)=u¸(t) and x, (t) = i(t).
C x, + 1 u X2 1 R + R, L L y=[1 0] + Ou X,
Transcribed Image Text:C x, + 1 u X2 1 R + R, L L y=[1 0] + Ou X,
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