An electrical circuit consisting of an inductor, L, and a capacitor, C, in series is shown in Figure Q1. u(t){ i(t) q(t) is the charge and i = dq/dt. (0000) Figure Q1 where i(t) is the current and u(t) is the voltage source. The system can be described by a following differential equation [c 1 Lä(t) +7q(t) = u(t) c) Give a discrete-time representation of the above system using a zero-order hold. d) Analyse the stability and controllability of the discrete time model and comment on the result obtained.
An electrical circuit consisting of an inductor, L, and a capacitor, C, in series is shown in Figure Q1. u(t){ i(t) q(t) is the charge and i = dq/dt. (0000) Figure Q1 where i(t) is the current and u(t) is the voltage source. The system can be described by a following differential equation [c 1 Lä(t) +7q(t) = u(t) c) Give a discrete-time representation of the above system using a zero-order hold. d) Analyse the stability and controllability of the discrete time model and comment on the result obtained.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![An electrical circuit consisting of an inductor, L, and a capacitor, C, in series is shown in Figure Q1.
u(t){
i(t)
q(t) is the charge and i = dq/dt.
(0000)
Figure Q1
where i(t) is the current and u(t) is the voltage source. The system can be described by a following
differential equation
[c
1
Lä(t) +7q(t) = u(t)
c) Give a discrete-time representation of the above system using a zero-order hold.
d) Analyse the stability and controllability of the discrete time model and comment on the result
obtained.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9ae494b-0c93-4c1c-b8b9-6bc9a50e90cb%2F20bf3f4d-4984-4e7f-8c68-a6d83d889e15%2Fkfw8nxn_processed.png&w=3840&q=75)
Transcribed Image Text:An electrical circuit consisting of an inductor, L, and a capacitor, C, in series is shown in Figure Q1.
u(t){
i(t)
q(t) is the charge and i = dq/dt.
(0000)
Figure Q1
where i(t) is the current and u(t) is the voltage source. The system can be described by a following
differential equation
[c
1
Lä(t) +7q(t) = u(t)
c) Give a discrete-time representation of the above system using a zero-order hold.
d) Analyse the stability and controllability of the discrete time model and comment on the result
obtained.
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