lecture4

lecture4 - MAE 171A: Dynamic Systems Control Lecture 4:...

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Unformatted text preview: MAE 171A: Dynamic Systems Control Lecture 4: Dynamical System Properties step response and design specifications Goele Pipeleers Recall from Lecture 3 . . . System Poles and Impulse Response first-order system: G ( s ) = s + pole: p =- , and time constant = 1 / impulse response: g ( t ) = e- t = 1 e- t/ second-order system: G ( s ) = 2 n s 2 + 2 n s + 2 n poles: p i =- n |{z} i p 1- 2 n | {z } impulse response: g ( t ) = 2 + 2 e- t sin( t ) { p } { p } n arcsin 1 Overview Impulse Responses { p } { p } 2 In This Lecture system poles and step response step response design specifications first controller designs 3 System Poles and Step Response First-order System G ( s ) = s + = 1 s + 1 step response: Y ( s ) = s + 1 s = 1 s- 1 s + L- 1-- y ( t ) = 1- e- t/ t 1 y 1- e- 1 4 Second-order System G ( s ) = 2 n s 2 + 2 n...
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This note was uploaded on 08/08/2011 for the course MAE 171 taught by Professor Pipeleers during the Summer '11 term at UCLA.

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lecture4 - MAE 171A: Dynamic Systems Control Lecture 4:...

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