Consider the RLC electrical circuit given below, where the input is current (i 1 (t) ) and the output is voltage (v o (t) ) (a) Find the State Variable model ((A, B, C, D) ) for the circuit (b) Show that the input output differential equation is given by C ddot v o frac 1 R dot v o frac 1 L v o dot...

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Consider the RLC electrical circuit given below, where the input is current (i_{1}(t)) and the output is

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Consider the RLC electrical circuit given below, where the input is current $i_{1}(t)$ and the output is voltage $v_{o}(t)$.

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(a) Find the State-Variable model $(A, B, C, D)$ for the circuit.

(b) Show that the input-output differential equation is given by

\[C \ddot{v}_{o}+\frac{1}{R} \dot{v}_{o}+\frac{1}{L} v_{o}=\dot{i}(t)\]

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Related Book For answer-question

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

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Question Posted: Mar 14, 2024 06:00 AM

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Consider the RLC electrical circuit given below, where the input is current (i_{1}(t)) and the output is

Question:

C R L eee An RLC Electrical Circuit

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

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