Delay-dependent Guaranteed Cost Control for Uncertain Nonlinear Discrete-time Systems

Author

Yue, Dongmei ; Liu, Zhiyuan ; Gai, Xiaodong ; Pei, Run

Author_Institution

Harbin Inst. of Technol., Harbin

fYear

2007

fDate

5-8 Aug. 2007

Firstpage

3773

Lastpage

3778

Abstract

The delay-dependent guaranteed cost control problem is studied for a class of uncertain nonlinear discrete systems with time-delay. A sufficient condition is presented for the existence of a memory state feedback and a parameterized representation of the control laws is given in terms of certain linear matrix inequalities (LMIs). The non-convex feasible problem is converted into convex optimization problem, and the design procedure of optimal control law is given.

Keywords

delays; discrete time systems; linear matrix inequalities; nonlinear control systems; optimal control; state feedback; convex optimization problem; delay-dependent guaranteed cost control; linear matrix inequalities; memory state feedback; optimal control; time-delay; uncertain nonlinear discrete-time systems; Control systems; Costs; Delay systems; Design optimization; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Optimal control; State feedback; Sufficient conditions; LMI; delay-dependent; guaranteed cost control; memory state feedback; uncertain nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Mechatronics and Automation, 2007. ICMA 2007. International Conference on

Conference_Location

Harbin

Print_ISBN

978-1-4244-0828-3

Electronic_ISBN

978-1-4244-0828-3

Type

conf

DOI

10.1109/ICMA.2007.4304175

Filename

4304175