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  3. 1 consider an electromechanical system consisting of an rc circuit...

Question: 1 consider an electromechanical system consisting of an rc circuit...

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1. 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 di, which is linearly related to ve through dıpe where p is a positive constant. The displacement di finally drives the mass-spring-damper and produces a displacement d2 in the mass, which is the system output. Obtain a state-space representation of the system. dı Piezoelectric Element k2 dı ki d,-p-Ve

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