Estimating the Region of Attraction of Nonlinear Control Systems with Saturating Actuators

Author

Coutinho, D.F. ; Silva, J. M Gomes da, Jr.

Author_Institution

PUCRS, Porto Alegre

fYear

2007

fDate

9-13 July 2007

Firstpage

4715

Lastpage

4720

Abstract

This paper focus on the problem of estimating the region of attraction of nonlinear control systems that can be put in a rational algebraic-differential form. The estimates are computed by means of invariant domains associated to rational Lyapunov functions. The saturation effects are taken into account by the use of a generalized sector condition for deadzone nonlinearities. These ingredients lead to the formulation of an LMI-optimization problem for computing regions of stability for the closed-loop system.

Keywords

Lyapunov methods; actuators; closed loop systems; differential algebraic equations; linear matrix inequalities; nonlinear control systems; optimisation; stability; LMI optimization; closed-loop system stability; deadzone nonlinearity; linear matrix inequalities; nonlinear control system; rational Lyapunov function; rational algebraic-differential form; saturating actuator; Actuators; Asymptotic stability; Automatic control; Control systems; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Open loop systems; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2007. ACC '07

Conference_Location

New York, NY

ISSN

0743-1619

Print_ISBN

1-4244-0988-8

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2007.4282430

Filename

4282430