Dissipativity-based integral sliding-mode control for a class of Takagi–Sugeno fuzzy singular systems with time-varying delay

• Published in: IET control theory & applications Vol. 8; no. 17; pp. 2045 - 2054
• Main Authors: Kchaou, Mourad, Gassara, Hamdi, El-Hajjaji, Ahmed, Toumi, Ahmed
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 20.11.2014
• Subjects: Delay; delay systems; delay‐dependent criterion; Dissipation; dissipativity‐based integral sliding‐mode control; Dynamical systems; Fuzzy; fuzzy control; input nonlinearity; integral sliding surface; Integrals; linear matrix inequalities; Nonlinear dynamics; Sliding; Sliding mode control; sliding mode dynamics; SMC law; time‐delay Takagi–Sugeno fuzzy singular systems; time‐varying delay; time‐varying systems; uncertain systems; uncertainties; variable structure systems; time-varying systems; time-varying delay; SMC law; integral sliding surface; delay systems; uncertain systems; dissipativity-based integral sliding-mode control; fuzzy control; input nonlinearity; linear matrix inequalities; sliding mode dynamics; delay-dependent criterion; uncertainties; variable structure systems; time-delay Takagi–Sugeno fuzzy singular systems
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2014.0101

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 (𝓆𝓈𝓇)-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.