Fuzzy Adaptive Robust Control for Stochastic Switched Nonlinear Systems With Full-State-Dependent Nonlinearities

Abstract

This paper solves the problem of fuzzy adaptive robust output feedback control using average dwell-time switching for a class of stochastic switched nonstrict feedback nonlinear systems with more general uncertainties, including unmodeled dynamics, unknown control coefficients, unknown drift/diffusion terms, and unknown output functions. The unmodeled dynamics and drift/diffusion terms are allowed to depend on the whole unmeasurable states, whose effect is difficult to counteract. By virtue of the fuzzy approximation capability and variable partition technique, an adaptive backstepping procedure is proposed to compensate these uncertainties. Based on the constructed switched observer, which shows its strong robustness to the unknown control coefficients and output functions, an output feedback controller is designed to render all the signals of the closed-loop system bounded in probability under an appropriately chosen average dwell time.