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
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;
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
DOI :
10.1109/CDC.1994.411687
