Open AccessDissipativity‐based integral sliding‐mode control for a class of Takagi–Sugeno fuzzy singular systems with time‐varying delay
Author(s) -
Kchaou Mourad,
Gassara Hamdi,
ElHajjaji Ahmed,
Toumi Ahmed
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0101
Subject(s) - control theory (sociology) , integral sliding mode , fuzzy logic , class (philosophy) , fuzzy control system , mode (computer interface) , sliding mode control , control (management) , computer science , mathematics , nonlinear system , artificial intelligence , physics , quantum mechanics , operating system
The problem of sliding‐mode control (SMC) with dissipativity for a class of time‐delay Takagi–Sugeno fuzzy singular systems is investigated. The system is subject to uncertainties and input non‐linearity. Based on an integral sliding surface, a delay‐dependent criterion is developed in terms of linear matrix inequalities, which ensures the sliding mode dynamics to be robustly admissible and strictly (ℛ)‐dissipative. Moreover, an SMC law is established such that the reachability of the specified sliding surface is guaranteed. Finally, the validity and applicability of the proposed approach are illuminated by two simulation examples.