Super-twisting algorithm-based fuzzy sliding mode control for descriptor T-S fuzzy systems

This paper presents a novel framework for designing a super-twisting algorithm-based fuzzy sliding mode controller to address critical challenges in descriptor T-S fuzzy systems. First, an innovative integral-type sliding surface is proposed, eliminating the longstanding requirement for prior knowledge concerning the derivatives of membership functions (MFs)-a key limitation in existing methods. This approach constitutes a significant advance, ensuring asymptotic stability of the sliding motion without restrictive assumptions on MF dynamics. Subsequently, a multivariable super-twisting algorithm is developed specifically for descriptor T-S systems. This development fundamentally ensures continuity of the closed-loop states and suppresses chattering by design. Finally, two examples are numerically simulated to test the validity of the method proposed.