Fuzzy sliding mode controller design based on fuzzy union reasoning

A fuzzy union reasoning based fuzzy sliding mode controller (FUR-FSMC) is proposed. In the process of designing the FUR-FSMC, we firstly employ the sliding mode control technique to design the fuzzy control rules, so that the fuzzy controller has the characteristics of stability and robustness. Next we adopt the fuzzy union reasoning to construct the fuzzy control rules and to obtain the FUR-FSMC. The fuzzy control rule base of the FUR-FSMC is composed of a series of single-input single-output relations coupled by union. This construction will efficiently reduce the number of rules in the rule base. Finally, we apply a genetic algorithm (GA) to search the optimal parameters for the FUR-FSMC. Computer simulations of an inverted pendulum control system are used to demonstrate the performance of the proposed FUR-FSMC