DocumentCode
1722131
Title
Construction of piecewise Lyapunov functions for stabilizing switched systems
Author
Wicks, Mark A. ; Peleties, Philipos ; DeCarlo, Raymond A.
Author_Institution
Electr. and Comput. Eng. Dept., GMI Eng. & Manage. Inst., Flint, MI, USA
Volume
4
fYear
1994
Firstpage
3492
Abstract
This paper discusses the problem of stabilizing a pair of switched linear systems. A control law is developed using a Lyapunov function having a piecewise continuous derivative. A Lyapunov function yielding a stable switching rule is shown to exist as long as there exists a stable convex combination of the system matrices. The use of this stable combination for other control strategies is explored
Keywords
Lyapunov methods; asymptotic stability; control system analysis; eigenvalues and eigenfunctions; linear systems; matrix algebra; variable structure systems; asymptotic stability; piecewise Lyapunov functions; piecewise continuous derivative; sliding mode control; stabilizing switched systems; switched linear systems; system matrices; Artificial intelligence; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Proportional control; Sliding mode control; Switched systems; Switches;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location
Lake Buena Vista, FL
Print_ISBN
0-7803-1968-0
Type
conf
DOI
10.1109/CDC.1994.411687
Filename
411687
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