Title :
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
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;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315404
