Observer-Based Integral Sliding Mode Control With Switching Gains for Fuzzy Impulsive Stochastic Systems

This article studies the integral sliding mode control (ISMC) for fuzzy impulsive stochastic systems with immeasurable states. First, a fuzzy state observer is developed to estimate the immeasurable states. Second, a fuzzy sliding-mode surface and fuzzy ISMC scheme are proposed based on the designed state observer. Then, by constructing a piecewise time-dependent Lyapunov function, the uniformly almost surely exponentially stability of the closed-loop system is proved. Furthermore, a control design algorithm of solving control and observer gains is formulated based on the established sufficient conditions and linear matrix inequality theory. Finally, a simulation example and the simulation comparisons with the existing methods are provided to demonstrate the effectiveness of the proposed fuzzy ISMC scheme.