Piecewise Integral Sliding-Mode Control for T-S Fuzzy Systems

This paper addresses the issue of piecewise integral sliding mode control for T-S fuzzy systems. Integral sliding mode control (ISMC) is chosen to stabilize the T-S fuzzy system because of its superior capability in treating uncertainties. Individual integral sliding surfaces are designed in different operating regions of the T-S fuzzy system. Conditions on existence of the sliding mode in the associated region are given. The chattering phenomenon around region boundaries is analyzed and prevention of such chattering is discussed. An illustrative example is finally given to show the efficiency of the proposed method.