DocumentCode :
3288224
Title :
Robust non-Zenoness of piecewise analytic systems with applications to complementarity systems
Author :
Jinglai Shen
Author_Institution :
Dept. of Math. & Stat., Univ. of Maryland -Baltimore County, Baltimore, MD, USA
fYear :
2010
fDate :
June 30 2010-July 2 2010
Firstpage :
148
Lastpage :
153
Abstract :
This paper addresses non-Zenoness of a class of Lipschitz piecewise analytic systems subject to state perturbations and parameter uncertainties, motivated by sensitivity analysis of such systems. Specifically, the existence of uniform bounds on the number of mode switchings on a finite time interval is established for perturbed systems. For general parameterized piecewise analytic systems, this is achieved locally by extending Sussmann´s result; this result is applied to a class of nonlinear complementarity systems arising from contact mechanics and constrained dynamical optimization. Furthermore, the existence of a global uniform bound on the number of switchings is established for bimodal piecewise affine systems by exploiting affine structure, under mild conditions on system parameters. It is shown that this bound is independent of initial state perturbations.
Keywords :
nonlinear control systems; piecewise linear techniques; robust control; sensitivity analysis; Lipschitz piecewise analytic system; Sussmann result; bimodal piecewise affine system; complementarity system; constrained dynamical optimization; contact mechanic; finite time interval; mode switching; nonlinear complementarity system; parameter uncertainty; robust nonzenoness; sensitivity analysis; state perturbation; Analytical models; Computational modeling; Constraint optimization; Control systems; Nonlinear dynamical systems; Performance analysis; Robust control; Robustness; Uncertain systems; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
ISSN :
0743-1619
Print_ISBN :
978-1-4244-7426-4
Type :
conf
DOI :
10.1109/ACC.2010.5531225
Filename :
5531225
Link To Document :
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