Integral Sliding Mode Control for Polynomial Fuzzy Descriptor Systems

Abstract

T0588. A new integral-type switching function, which involves the inherent characteristics of the polynomial fuzzy descriptor systems, is first constructed. Then a sum of square-based approach is proposed to determine the designing matrices in the proposed integral-type switching function and a twisting algorithm-based sliding mode controller is also designed to guarantee the continuity of the state variables of the resultant closed-loop systems. It is shown that the proposed method has potential application in singular biological systems and is also applicable for the polynomial fuzzy descriptor system whose each subsystem does not share the same input matrix. Finally, an example is given to verify the proposed methods in this paper.