Adaptive Sliding-Mode Control for Uncertain Time Varying Delay-Systems

Author

Xu, Jian-Qiang ; Chen, Shu-Zhong

Author_Institution

Shanghai Inst. of Technol., Shanghai

Volume

1

fYear

2007

fDate

19-22 Aug. 2007

Firstpage

514

Lastpage

518

Abstract

The adaptive sliding mode control for a class of time varying delay systems with mismatched uncertainties and matched external perturbations are investigated in this paper. Based on the Lyapunov theory, a sufficient condition derived in terms of LMI is given to guarantee the existence of the sliding surface. The adaptive control is used to overcome the unknown upper bound of perturbations. Furthermore, the globally asymptotic stability is achieved for the proposed control methodology.

Keywords

Lyapunov methods; adaptive control; asymptotic stability; delays; linear matrix inequalities; time-varying systems; uncertain systems; variable structure systems; LMI; Lyapunov theory; adaptive sliding-mode control; globally asymptotic stability; linear matrix inequality; sufficient condition; uncertain time varying delay-systems; Adaptive control; Asymptotic stability; Delay effects; Delay systems; Programmable control; Sliding mode control; Sufficient conditions; Time varying systems; Uncertainty; Upper bound; Adaptive control; Sliding-mode control; Time-varying delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2007 International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-0973-0

Electronic_ISBN

978-1-4244-0973-0

Type

conf

DOI

10.1109/ICMLC.2007.4370199

Filename

4370199