Sliding mode control algorithm based on T-S fuzzy model for a class of nonlinear systems

In this parer, a sliding mode control algorithm based on Takagi-Sugeno (T-S) fuzzy model for a class of nonlinear systems is proposed. The nonlinear system is approximately represent by a T-S fuzzy model with mismatched parameter uncertainties and time-varying delay. An asymptotically stable sliding surface is designed by means of linear matrix inequality (LMI). The sliding surface can compensate for the effect of mismatched parameter uncertainties in system state. A robust sliding mode controller is designed to ensure the existence of a sliding mode and to overcome the effect of the time-varying delay and the uncertainties of the system. In addition, a novel reaching condition that can obviously reduce chattering around the sliding surface is also proposed. Matlab simulation results are offered to verify the effectiveness of the proposed algorithm.