g-damper, as shown in the following figure. The system input is the voltage source v, which drive C circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectr ent and produces a mechanical displacement d1, which is linearly related to ve through dị = p- v e p is a positive constant. The displacement di finally drives the mass-spring-damper and produce placement da in the mass, which is the system output. Obtain a state-space representation of th %3D em. Piezoelectric k2 R. Element di ki Ve C - di = pve Vs Ve m

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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What is the state space representation (states and y (output)). Thanks

Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass-
spring-damper, as shown in the following figure. The system input is the voltage source v, which drives
the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric
element and produces a mechanical displacement d1, which is linearly related to Ve through dị = p · Ves
where p is a positive constant. The displacement d1 finally drives the mass-spring-damper and produces
a displacement dy in the mass, which is the system output. Obtain a state-space representation of the
system.
k2
Piezoelectric
Element
R
ki
Vc
Vs
Ve
- di = p've
Transcribed Image Text:Consider an electromechanical system consisting of an RC circuit, a piezoelectric element, and a mass- spring-damper, as shown in the following figure. The system input is the voltage source v, which drives the RC circuit and produces a capacitor voltage ve. The capacitor voltage ve, in turn, drives the piezoelectric element and produces a mechanical displacement d1, which is linearly related to Ve through dị = p · Ves where p is a positive constant. The displacement d1 finally drives the mass-spring-damper and produces a displacement dy in the mass, which is the system output. Obtain a state-space representation of the system. k2 Piezoelectric Element R ki Vc Vs Ve - di = p've
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