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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) =

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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