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Transient Response of a Second-Order System

Transient Response of a Second-Order System ECEN 2830 Spring 2012 1. Introduction In connection with this experiment, you are selecting the gains in your feedback loop to obtain a well-behaved closed-loop Response (from the reference voltage to the shaft speed). The transfer function of this Response contains two poles, which can be real or complex. This document derives the step Response of the general Second-Order step Response in detail, using partial fraction expansion as necessary. 2. Transient Response of the general Second-Order System Consider a circuit having the following Second-Order transfer function H(s): vout(s)vin(s)=H(s)=H01+2 s 0+s 02 (1) where H0, , and 0 are constants that depend on the circuit element values K, R, C, etc.

Transient Response of a Second-Order System ECEN 2830 Spring 2012 1. Introduction In connection with this experiment, you are selecting the gains in your feedback loop to

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