a) b) A control system is represented by two state variables and its state description matrices are: -[i].c=u = [1_2],q(0) = ], u(t)=5e* u(t) A = [454 B Find yzi(t), i.e. yzi(t)= Ce^q(0) Write the "expected" response form for yzs(t) [DO NOT HAVE TO CALCULATE yzs(t)]
a) b) A control system is represented by two state variables and its state description matrices are: -[i].c=u = [1_2],q(0) = ], u(t)=5e* u(t) A = [454 B Find yzi(t), i.e. yzi(t)= Ce^q(0) Write the "expected" response form for yzs(t) [DO NOT HAVE TO CALCULATE yzs(t)]
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![(α)
b)
A control system is represented by two state variables and its state description matrices are:
A = [4 -²5]. B=[].C= 1₁ 2],q(0-) = [], u(t) = 5e* u(t)
Find yzi(t), i.e. yzi(t) = Ce^q(0)
Write the "expected" response form for yzs(t) [DO NOT HAVE TO CALCULATE yzs(t)]
Y₂; (t)=(e^t g(0)
equivalent
e. besed an
Matrix valaes
b(C₁s + Co)
S²+₁5+α₂
1 (25+1)
5² +45+5
-Roots
(Sta-i XS+2+i)
→ Complex Conjugates
Unterdumped
response formi
Y ₂₁ (t) = ewi [Sinwn withasz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecd9d238-92a1-4a47-af9e-c758e887edd1%2F2b5aec21-e522-4890-a8fe-b80542046b83%2Fqky3wlm_processed.png&w=3840&q=75)
Transcribed Image Text:(α)
b)
A control system is represented by two state variables and its state description matrices are:
A = [4 -²5]. B=[].C= 1₁ 2],q(0-) = [], u(t) = 5e* u(t)
Find yzi(t), i.e. yzi(t) = Ce^q(0)
Write the "expected" response form for yzs(t) [DO NOT HAVE TO CALCULATE yzs(t)]
Y₂; (t)=(e^t g(0)
equivalent
e. besed an
Matrix valaes
b(C₁s + Co)
S²+₁5+α₂
1 (25+1)
5² +45+5
-Roots
(Sta-i XS+2+i)
→ Complex Conjugates
Unterdumped
response formi
Y ₂₁ (t) = ewi [Sinwn withasz
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