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Synthesis of switching rules for switched linear systems through randomized algorithms

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3 Author(s)
H. Ishii ; Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA ; T. Basar ; R. Tempo

In this paper, the design of a stabilizing switching rule for a switched linear system is considered. We first propose a probabilistic algorithm for a known nonconvex condition that employs a multiple Lyapunov function. We prove a probability-one convergence of the algorithm under a new notion of convergence. Then, to reduce its complexity, a modified version of the algorithm is developed. The results are illustrated using two-and three-dimensional systems with multiple switch states.

Published in:

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on  (Volume:5 )

Date of Conference:

9-12 Dec. 2003