Adaptive fuzzy sliding mode control for time-delay uncertain large-scale systems

In this paper, a class of uncertain large-scale systems with time-delay interconnections is represented by an equivalent Takagi-Sugeno type fuzzy model. In general, the existence of time-delays and perturbations is common in control practice. Therefore the problem of controlling such systems becomes more complex. For the design of the sliding mode control of time-delay uncertain large-scale systems, we propose the adaptive fuzzy sliding mode control schemes, and the fuzzy approximator is used to approximate the upper bound of the uncertainties which combine time-delay interconnections with perturbations in the system. Furthermore, based on the Lyapunov stability theorem, asymptotic stability results can be obtained. Finally, some simulation results are illustrated to demonstrate the effectiveness of the proposed method in this paper.