Indirect adaptive fuzzy control on interval Type-2 T-S model
区间Type-2 T-S间接自适应模糊控制

Based on Type-1 T-S indirect adaptive fuzzy control, the design scheme of the interval Type-2 T-S indirect adaptive fuzzy control is presented by using Type-2 fuzzy logic systems(FLS) theory. In this system, the antecedents of the rules are interval Type-2 fuzzy sets and the consequents are crisp numbers. Hence the control method inherits the benefits of Type-2 FLS which are able to directly handle rule uncertainties and can minimize the effects of uncertainties in rule-based FLS. Further more, it contains characteristics of T-S fuzzy model whose consequents are linear state equations, which can improve the accuracy in system modeling and reduce the rule numbers of the system. In the sense that all the variations involved are uniformly bounded, the closed-loop system can reach global stability by using Lyapunov synthesis approach. The convergence of the proposed indirect adaptive fuzzy system is analyzed by this approach, and the adaptive law is derived. The numerical simulation of controlling an inverted pendulum validates the effectiveness and advantage of the proposed method.