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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.

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)
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.
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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