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Stability and stabilization of a class of nonlinear systems with saturating actuators

Authors:Queinnec Isabelle, LAAS-CNRS, France
Castelan Eugenio B., DAS-CTC-UFSC, Brazil
Tarbouriech Sophie, LAAS-CNRS, France
Topic:2.3 Non-Linear Control Systems
Session:Control of Nonlinear Saturating Systems
Keywords: Nonlinear systems, Saturations, Absolute stability, State feedback, Sector nonlinearities, LMIs.

Abstract

This paper addresses the problem of controlling a certain class of continuous-time nonlinear systems subject to actuator saturations.The design of state feedback gains is done by considering a modelling of the nonlinear saturated system through deadzone nonlinearities satisfying a modified sector condition, which encompasses the classical sector-nonlinearity condition considered in previous works.