Observer-Based Integral Sliding Mode Control With Switching Gains for Fuzzy Impulsive Stochastic Systems
Lei Song, Shaocheng Tong · IEEE Transactions on Fuzzy Systems · 2023
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.