Chattering-Free Fuzzy Sliding Mode Control Strategy for Uncertain Discrete Systems with Input Saturation

This paper proposes a fuzzy sliding mode control (FSMC) strategy for uncertain discrete system with input saturation. The reaching law of sliding mode controller is decided by a set of fuzzy rules. An equivalent matrix is constructed for input saturation. Combined FSMC with linear matrix inequalities (LMIs), a chattering free control algorithm is applied in the discrete system with input saturation. The feasibility and effectiveness of the FSMC scheme are demonstrated via numerical examples. As a result, compared with conventional sliding mode controller, the fuzzy sliding mode controller is able to achieve desired transient response with input saturation. And there is no chattering in steady state while unmatched parameter uncertainty exists.