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Introduction The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2 states will be used, based on the number of the energy - storing elements of the circuit, the capacitor and the inductor. u(t) + ΙΩ www 13 F 5 Ω it (t) www vc(t) 1 H Figure 1: LCR circuit The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage across the capacitor, vc(t). Questions 1. Choice of system states: Choose appropriate signals for the 2 states of the system. x₁(t) = i₁(t) x₂ (t) =

Introduction The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2 states will be used, based on the number of the energy - storing elements of the circuit, the capacitor and the inductor. u(t) + ΙΩ www 13 F 5 Ω it (t) www vc(t) 1 H Figure 1: LCR circuit The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage across the capacitor, vc(t). Questions 1. Choice of system states: Choose appropriate signals for the 2 states of the system. x₁(t) = i₁(t) x₂ (t) =

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter21: Resistive-capacitive Series Circuits
Section: Chapter Questions
Problem 2PP: Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the...
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Introduction The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2 states will be used, based on the number of the energy - storing elements of the circuit, the capacitor and the inductor. u(t) + ΙΩ www 13 F 5 Ω it (t) www vc(t) 1 H Figure 1: LCR circuit The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage across the capacitor, vc(t). Questions 1. Choice of system states: Choose appropriate signals for the 2 states of the system. x₁(t) = i₁(t) x₂ (t) =
Transcribed Image Text:Introduction The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2 states will be used, based on the number of the energy - storing elements of the circuit, the capacitor and the inductor. u(t) + ΙΩ www 13 F 5 Ω it (t) www vc(t) 1 H Figure 1: LCR circuit The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage across the capacitor, vc(t). Questions 1. Choice of system states: Choose appropriate signals for the 2 states of the system. x₁(t) = i₁(t) x₂ (t) =
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