State feedback design for rational nonlinear control systems with saturating inputs

Author

Oliveira, M.Z. ; Gomes da Silva, J.M. ; Coutinho, Daniel

Author_Institution

Dept. of Electr. Eng., UFRGS, Porto Alegre, Brazil

fYear

2012

fDate

27-29 June 2012

Firstpage

2331

Lastpage

2336

Abstract

This paper focuses on the problem of designing stabilizing state feedback control laws for rational nonlinear systems subject to actuator saturation. The results are based on the differential-algebraic representation of rational systems and a generalized sector relation to address the saturation effects. From these elements, LMI based conditions are devised to compute a state feedback control law leading to a maximized ellipsoidal estimate of the region of attraction of the closed-loop system. Several numerical examples are provided to illustrate the potentialities of the technique.

Keywords

control system synthesis; linear matrix inequalities; nonlinear control systems; stability; state feedback; LMI based conditions; actuator saturation; closed-loop system; differential-algebraic representation; generalized sector relation; maximized ellipsoidal estimate; rational nonlinear control systems; saturating inputs; state feedback control law; state feedback design; Actuators; Closed loop systems; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; State feedback; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315101

Filename

6315101