DocumentCode :
2095543
Title :
Overshoot analysis for a family of linear systems subject to bounded reference inputs
Author :
Lei Xiaofeng ; Zhu Bo
Author_Institution :
Dept. of Autom. Control, Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
fYear :
2010
fDate :
29-31 July 2010
Firstpage :
227
Lastpage :
231
Abstract :
It is usually difficult to analyze the response overshoot of a high order linear system, because the corresponding inverse Laplace transform of the response is difficult to compute analytically. In this paper, we use a novel method to analyze the response overshoot of a family of stable linear systems whose orders may be arbitrarily high. This method is characterized by the construction of equivalent realization of the systems and the idea of proof by contradiction. The result is that the responses of these systems for any bounded reference inputs must overshoot. This result covers some existing results in literature. Several guidelines for non-overshooting controller design are also obtained. And three examples are given to confirm the theory result.
Keywords :
linear systems; realisation theory; signal detection; bounded reference input; contradiction proof; equivalent realization; inverse Laplace transform; linear system; overshoot analysis; Control design; Guidelines; Laplace equations; Linear systems; Poles and zeros; Equivalent Realization; High-Order Linear Systems; Overshoot; Proof by Contradiction;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
Type :
conf
Filename :
5572978
Link To Document :
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