Optimal guaranteed cost control of a class of nonlinear uncertain discrete-time systems: an LMI approach

Author

Dong, Zhe ; You, Zheng

Author_Institution

Dept. of Precision Instrum. & Mechanology, Tsinghua Univ., Beijing

fYear

2006

fDate

14-16 June 2006

Abstract

The optimal guaranteed cost control problem for a class of nonlinear uncertain discrete-time systems is considered. A sufficient condition for the existence of guaranteed cost state feedback control is presented, and the problem of designing the optimal guaranteed cost control is converted to a convex optimization problem subjected to a certain system of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed results

Keywords

control system synthesis; convex programming; cost optimal control; discrete time systems; linear matrix inequalities; nonlinear control systems; robust control; state feedback; uncertain systems; convex optimization; discrete-time systems; guaranteed cost state feedback control; linear matrix inequalities; nonlinear systems; optimal guaranteed cost control; uncertain systems; Control systems; Cost function; Linear matrix inequalities; Nonlinear control systems; Optimal control; Riccati equations; State feedback; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657521

Filename

1657521