-Determine the transfer function of the circuit in Figure 5 on standard form on standard form. 2-Determine the state-space model of the circuit in Figure using the state variables  x = [x1 x2]^T = [vC iL]^T , the input variable u = Uin and the output variable y = Uout. To analyze the electrical circuit, the differential equations of the system components are given for an ideal capacitor:  and for an ideal inductor:(see the another photo)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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1-Determine the transfer function of the circuit in Figure 5 on standard form on standard form.

2-Determine the state-space model of the circuit in Figure using the state variables 
x = [x1 x2]^T = [vC iL]^T , the input variable u = Uin and the output variable y = Uout. To analyze the electrical circuit, the differential equations of the system components are given for an ideal capacitor: 
and for an ideal inductor:(see the another photo)

:

for an ideal capacitor, and
for an ideal inductor.
ic = C..
V₁ = L.
dvc
dt
di L
dt
Transcribed Image Text:for an ideal capacitor, and for an ideal inductor. ic = C.. V₁ = L. dvc dt di L dt
Uin(t)
R
mm
FoQ₁
C
R₁
- RLC-circuit with load R₁ modeling a second-order system.
Uout (t)
Transcribed Image Text:Uin(t) R mm FoQ₁ C R₁ - RLC-circuit with load R₁ modeling a second-order system. Uout (t)
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