International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007


Wednesday Evening

Session WE2: Switched and Jump Systems


Chair: José C. Geromel - Brazil
Co-chair: Elena de Santis - Italy
Room: Montevideo
2007-10-17
From 16:00 to 18:00
Regional Stabilization of Switched Systems Subject to Input Saturation
V. F. Montagner; J. M. Gomes da Silva Jr.; P. L. D. Peres
Contact: Pedro L. D. Peres - Brazil
16:00-16:20
Abstract:
This paper investigates the stabilization of continuous-time switching systems subject to saturating actuators and bounded disturbances. Sufficient conditions are given in terms of linear matrix inequalities assuring the existence of full order dynamic switched controllers with anti-windup action that guarantee regional asymptotic stability with respect to the origin when no disturbances are considered or, in the presence of bounded disturbances, that the trajectories remain limited, for any arbitrary switching sequence. The maximization of an estimate of the domain of attraction for given bounds on the amplitude of the disturbances and on the rate of convergence, or the maximization of the rate of convergence with guaranteed region of stability can be used as optimization criteria, as illustrated by means of a numerical example. Copyright © 2007 IFAC.