Stability analysis and stabilization of systems presenting nested saturations

Author

Tarbouriech, S. ; Prieur, C. ; Da Silva, J. M Gomes, Jr.

Author_Institution

LAAS-CNRS, Toulouse

Volume

51

Issue

8

fYear

2006

Firstpage

1364

Lastpage

1371

Abstract

This note addresses the problems of stability analysis and stabilization of systems presenting nested saturations. Depending on the open-loop stability assumption, the global stability analysis and stabilization problems are considered. In the (local) analysis problem, the objective is the determination of estimates of the basin of attraction of the system. Considering the stabilization problem, the goal is to design a set of gains in order to enlarge the basin of attraction of the closed-loop system. Based on the modelling of the system presenting nested saturations as a linear system with dead-zone nested nonlinearities and the use of a generalized sector condition, linear matrix inequality (LMI) stability conditions are formulated. From these conditions, convex optimization strategies are proposed to solve both problems

Keywords

closed loop systems; control system synthesis; linear matrix inequalities; open loop systems; optimisation; stability; closed-loop system; convex optimization strategies; dead-zone nested nonlinearities; linear matrix inequality; linear systems; nested saturations; open-loop stability assumption; stability analysis; Actuators; Aerodynamics; Aerospace control; Control systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Nonlinear dynamical systems; Sensor systems; Stability analysis; Linear matrix inequality (LMI); nested saturations; stability regions; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2006.878743

Filename

1673599