个 Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve q(t) = Aq(t) + Bu(t) y(t) Cq(t) + Du(t) dvez et die/d+ [v₁² (1)] Where q(t)= vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) ic = Codt ave - it ic = V₁ < Esk = V₁ < ic = Cd V²₁₂²

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...
icon
Related questions
Question

This is a part of a review I'm studying, NOT a graded assignment, please do not reject. Thank you!

Am I doing this problem right? I would like someone to verify I'm doing this correctly, thank you!

↓
Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below.
dve
= $
aj (4)=
dild+ [v₁² (1)]
Where q(t) = vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂
iz(t)
q(t) = Aq(t) + Bu(t)
y(t) = Cq(t) + Du(t)
+
Loop, v(t):
+ ₁₂ =0
01
K2 - 1/20
A
v₂ (t)
000
Vin(t)
Loop 2
LB
KVL@Loop 2 V₂+ V₂-V₁₁ = 0 + L ¹+ = V₁₁ V₁₂ + +¹2=VV/₁₂=X3
VV₁
KCL @ Node A:) i, - ic - i, = 0; i [=i|-|(= V/ - / -
==
KELNAJB
(H = [010] [] + [8]n
Vout= V₁₂
+
Vez(t)
d+ KILD;
) c a
Vin
6 = V₁ < ic=CdV/²₂₁₂
(s)
df
KVL of entive Loopal intif
iLL + VC₂
~√₁
4₁ = ²1 (₂₂ ² (dv₁₂
+
Vout(t)
d+
dit dve - ic
*
1 = | dic
dt
K
dt L
Cave - -CAVC₂
df
dt
- dve₁ = dvez
dt
at
는 ②
3
Transcribed Image Text:↓ Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve = $ aj (4)= dild+ [v₁² (1)] Where q(t) = vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) q(t) = Aq(t) + Bu(t) y(t) = Cq(t) + Du(t) + Loop, v(t): + ₁₂ =0 01 K2 - 1/20 A v₂ (t) 000 Vin(t) Loop 2 LB KVL@Loop 2 V₂+ V₂-V₁₁ = 0 + L ¹+ = V₁₁ V₁₂ + +¹2=VV/₁₂=X3 VV₁ KCL @ Node A:) i, - ic - i, = 0; i [=i|-|(= V/ - / - == KELNAJB (H = [010] [] + [8]n Vout= V₁₂ + Vez(t) d+ KILD; ) c a Vin 6 = V₁ < ic=CdV/²₂₁₂ (s) df KVL of entive Loopal intif iLL + VC₂ ~√₁ 4₁ = ²1 (₂₂ ² (dv₁₂ + Vout(t) d+ dit dve - ic * 1 = | dic dt K dt L Cave - -CAVC₂ df dt - dve₁ = dvez dt at 는 ② 3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Different Types of System and Its Property
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,