This paper is concerned with the robust sliding mode control (SMC) problem for a class of T-S fuzzy systems subject to both matched and mismatched uncertainties. Different from the conventional T-S fuzzy SMC design approach, the quantized states rather than states themselves, are utilized for the control design. By the combination of the proposed zooming-out/zooming-in adjustment policy of the quantizer sensitivity, the quantized state feedback fuzzy sliding mode control(FSMC) scheme is developed to ensure the stabilization of the T-S fuzzy systems. Finally, some simulation results are presented to illustrate the effectiveness of the proposed approach.

This study is concerned with the quantised feedback stabilisation problem for a class of uncertain linear systems by utilising sliding mode control schemes. It is an extension of our previous work from single‐input linear systems with matched uncertainties to multi‐input linear systems with matched/mismatched uncertainties. By applying an designed adjustment policy of the quantisation parameter, the proposed quantised feedback sliding mode control law can effectively eliminate the influence of the matched/mismatched uncertainties and guarantee the arrival of the sliding motion. Finally, an example is provided to illustrate the effectiveness of the proposed approach.