Double-input and single-output fuzzy control algorithm with potentially-inherited variable universe and its convergence
双输入单输出潜遗传变论域模糊控制算法及其收敛性

The problems of variable-universe fuzzy control algorithm and its convergence are studied in this paper. First,a novel potentially-inherited variable-universe fuzzy control algorithm is proposed for conventional double-input and single-output fuzzy controllers.By using a fuzzy-singleton transition function,the computation of the algorithm is significantly reduced because its operations are simplified on the variable universe of the consequent part of inference. Then,the convergence of the algorithm is proved theoretically.Finally,to confirm the algorithm's effectiveness,comparison experiments on inverted pendulum are done using two typical algorithms and the new one.The results of experiments show that,compared with the two typical algorithms,the controller based on the new algorithm obtains notable improvement in control precision.