Switching Surface Design for Mismatched Uncertain Systems with Time Delay: An LMI Approach

Author

Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon

Author_Institution

Dept. of Electr. Eng., Yonsei Univ., Seoul

fYear

2006

Firstpage

842

Lastpage

846

Abstract

This paper considers the problem of designing linear sliding surfaces for mismatched uncertain systems with time delay. The linear switching surface such that the reduced-order equivalent sliding mode dynamics restricted to the sliding surface is not only stable but invariant to mismatched uncertainties with time delay. An invariant condition for the existence of a linear switching surface is given in terms of linear matrix inequalities (LMIs). A numerical example is included to demonstrate the effectiveness of the theoretical results obtained

Keywords

control system synthesis; delay systems; linear matrix inequalities; nonlinear systems; uncertain systems; variable structure systems; LMI approach; linear matrix inequality; linear sliding surface design; linear switching surface design; mismatched uncertain nonlinear system; reduced-order equivalent sliding mode dynamics; sliding mode control; time delay system; Control systems; Delay effects; Delay systems; Design engineering; Design methodology; Differential equations; Linear matrix inequalities; Sliding mode control; Uncertain systems; Uncertainty; LMI(Linear Matrix Inequality); Sliding mode control; Time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE-ICASE, 2006. International Joint Conference

Conference_Location

Busan

Print_ISBN

89-950038-4-7

Electronic_ISBN

89-950038-5-5

Type

conf

DOI

10.1109/SICE.2006.315404

Filename

4108942