Title :
Invariance results for constrained switched systems
Author :
Mancilla-Aguilar, Jose Luis ; Garcia, R.A.
Author_Institution :
Dept. of Phys. & Math., Inst. Tecnol. de Buenos Aires, Buenos Aires, Argentina
fDate :
June 30 2010-July 2 2010
Abstract :
In this paper we address invariance principles for nonlinear switched systems with otherwise arbitrary compact index set and with constrained switchings. We present an extension of LaSalle´s invariance principle for these systems and derive by using detectability notions some convergence and asymptotic stability criteria. These results enable to take into account in the analysis of stability not only state-dependent constraints but also to treat the case in which the switching logic has memory, i.e., the active subsystem only can switch to a prescribed subset of subsystems.
Keywords :
asymptotic stability; control system synthesis; convergence; time-varying systems; LaSalle invariance principle; active subsystem; asymptotic stability criteria; constrained switched systems; index set; nonlinear switched systems; switching logic; Asymptotic stability; Control systems; Convergence; Logic; Lyapunov method; Nonlinear control systems; Nonlinear systems; Stability analysis; Switched systems; Switches; Switched systems; convergence; detectability; invariance; stability;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531156