Control of singularly perturbed systems under actuator saturation

Authors:	Lizarraga Ibone, Universidad del Pais Vasco, Spain Tarboouriech Sophie, LAAS-CNRS, France Garcia Germain, LAAS-CNRS, France
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems I
Keywords:	Singular perturbation methods, actuator saturation, linear matrix inequalities

Abstract

This paper addresses the stabilization problem of singularly perturbed systems subject to actuator saturation. A solution in terms of linear matrix inequalities is proposed. The saturation is represented by means of a modified sector nonlinearity. The numerical problems due to the ill conditioning of the system model are avoided using a non-decoupling strategy. Some numerical results are also included for testing the proposed methods