Robust Integral Sliding Mode Control for Uncertain Impulsive Stochastic Systems with Time Delays

lei song

Abstract: This paper studies the integral sliding mode control (ISMC) for uncertain impulsive stochastic systems with time delays. An ISMC law is proposed by designing a new integral sliding surface. Then, by constructing a piecewise time-dependent Lyapunov function, the uniformly almost surely exponentially stability conditions of the closed-loop system are established. Furthermore, an optimal design algorithm of solving control gains is formulated based on the established stable conditions and linear matrix inequalities (LMIs) theory.

Submission Number: 186