Sliding mode control of fuzzy descriptor systems with time delay

This paper investigates the problem of sliding mode control (SMC) for a class of uncertain Takagi-Sugeno (TS) fuzzy descriptor systems with time-varying delay. An integral-type sliding function is proposed and a new delay-dependent stability criterion, in terms of linear matrix inequality(LMI), is derived which guarantees to the sliding mode dynamics to be regular, impulse free and stable for all admissible uncertainties and time-varying delay. Moreover, a SMC law is synthesized to ensure the reaching condition. A numerical example is given to demonstrate the effectiveness of the proposed method SMC scheme.