Robust control for a class of uncertain in systems with time-delay and nonlinear perturbation

Author

He Xi-Qin ; Liu Yuan ; Huang Sheng-Juan

Author_Institution

Sch. of Sci., Univ. of Sci. & Technol. LiaoNing, Anshan, China

fYear

2011

fDate

22-24 July 2011

Firstpage

2318

Lastpage

2321

Abstract

The delay-dependent stability criterions for time-delay systems with nonlinear perturbation are discussed. Based on Lyapunov stability theory, a sufficient condition for delay-dependent asymptotically stable is derived in terms of linear matrix inequalities (LMIs) technique which is easy to solve. Then the stability criterion is used to design a robust state feedback controller. Finally, a numerical example is presented to illustrate the efficiency of the obtained result.

Keywords

asymptotic stability; control system synthesis; delays; linear matrix inequalities; perturbation techniques; robust control; stability criteria; state feedback; uncertain systems; LMI; Lyapunov stability theory; delay-dependent asymptotically stable; delay-dependent stability criterions; linear matrix inequalities; nonlinear perturbation; robust state feedback controller; time-delay systems; Asymptotic stability; Delay; H infinity control; Robust stability; Robustness; Stability criteria; Time varying systems; Nonlinear Perturbation; Robust Control; Time-Delay System; Uncertain;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001016