(a) Derive the State-Variable Matrix model of the electrical circuit in Figure 3.39. (b) Derive the Input-Output...
Question:
(a) Derive the State-Variable Matrix model of the electrical circuit in Figure 3.39.
(b) Derive the Input-Output model (a second-order differential equation) of the same circuit.
(c) Given the following values \(L=1, R=2, C=1\) find the specific State-Variable Matrix and Input-Output models.
(d) Find the dynamic system response of the system assuming: \(u(t)=\delta(t)\) (a unit impulse function), \(y(0)=1\) and \(\dot{y}(0)=0\). Plot this response.
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a Choose the voltage across the capacitor yt and the current flowing through the inductor it as the state variables For the capacitor it follows that ...View the full answer
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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution
ISBN: 9781032718804
2nd Edition
Authors: Arthur G O Mutambara
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