Command Filter-Based Adaptive Fuzzy Tracking Control for SISO Stochastic Multiple Time-Delay Systems

This paper considers the issue of adaptive fuzzy tracking control based on command filter for multiple time-delay nonlinear systems with stochastic disturbances. In order to handle the issues of “explosion of complexity” and algebraic-loop, the variable separation and command filter techniques are combined to design the controller of the multiple time-delay systems in the non-lower triangular form. The unknown nonlinearities in systems are approximated by the fuzzy logic systems. By employing the Lyapunov stability theory, the multiple time-delay nonlinear systems with stochastic disturbances can be verified that all the signals are semi-globally uniformly ultimately bounded in probability. The validity of the proposed control strategy is shown by a simulation example.