L2-Gain Analysis and Control Design of Linear Systems with Input Saturation using Matrix Sum of Squares Relaxation

Author

Ichihara, Hiroyuki ; Nobuyama, Eitaku

Author_Institution

Dept. of Syst. Innovation & Informatics, Kyushu Inst. of Technol., Fukuoka

fYear

2006

fDate

14-16 June 2006

Firstpage

3837

Lastpage

3842

Abstract

In this paper, matrix sum of squares (SOS) relaxation is used for analysis of linear systems with input saturation. On the basis of a polytopic type saturation model, we consider a polynomial type saturation model which leads less conservative analysis of Lscr₂-gain performance. The idea is also applicable to design problems. Both the analysis and the design problems are reduced to robust linear matrix inequality problems that can be solved by using a matrix SOS technique. A structural reduction for the relaxation is also discussed. Finally, numerical examples are shown

Keywords

control system analysis; control system synthesis; gain control; linear matrix inequalities; linear systems; L₂-gain analysis; linear system control design; matrix sum of squares relaxation; polynomial type saturation model; robust linear matrix inequality; Actuators; Control design; Control system analysis; Degradation; Linear matrix inequalities; Linear systems; Performance analysis; Polynomials; Robustness; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0210-7

Type

conf

DOI

10.1109/ACC.2006.1657317

Filename

1657317