DocumentCode :
828528
Title :
Reliable and accurate algorithm to compute the limit cycle locus for uncertain nonlinear systems
Author :
Nataraj, P.S.V. ; Barve, J.J.
Volume :
150
Issue :
5
fYear :
2003
Abstract :
A reliable and accurate algorithm is proposed to compute the so-called limit cycle locus for separable nonlinear systems with nonlinear parametric uncertainty. The limit cycle locus for a given uncertain parameter is the locus of the limit cycle points as the parameter varies over its range. The uncertain parameter may be associated with either the linear or nonlinear element in the system. The proposed algorithm makes use of the describing function analysis technique and tools of interval analysis for predicting the limit cycle behaviour. The capability of the proposed algorithm is demonstrated on an example that can not be readily solved using existing methods. An additional example shows how the proposed algorithm can also be applied to tune a controller to achieve a prescribed limit cycle behaviour
Keywords :
closed loop systems <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; control system synthesis <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; describing functions <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; limit cycles <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; nonlinear control systems <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; uncertain systems <compute limit cycle locus for uncertain nonlin. systs., reliable and accurate algm.>; closed-loop nonlinear systems; controller parameter values; controller tuning; describing function analysis technique; interval analysis; limit cycle locus; nonlinear parametric uncertainty; reliable accurate algorithm; uncertain nonlinear systems;
fLanguage :
English
Journal_Title :
Control Theory and Applications, IEE Proceedings -
Publisher :
iet
ISSN :
1350-2379
Type :
jour
DOI :
10.1049/ip-cta:20030813
Filename :
1245607
Link To Document :
بازگشت