区间Ⅱ型变论域自适应模糊逻辑控制器

在变论域自适应模糊控制方法的基础上,结合Ⅱ型模糊集较强的鲁棒性和处理不确定性问题的能力,设计了一种区间Ⅱ型变论域自适应模糊逻辑控制器.为了使控制器保持在最优状态,采用粒子群优化算法来优化隶属度函数;然后由Lyapunov方法证明了区间Ⅱ型变论域自适应模糊逻辑控制器的稳定性.对Duffing系统和1维6卷混沌系统的仿真表明,区间Ⅱ型变论域自适应模糊逻辑控制器可以很好地跟踪参考信号,较之变论域模糊逻辑控制器,其可以有效地防止抖震且控制量较小.

Interval type-2 variable universe adaptive fuzzy logic controller

The type-2 fuzzy sets are more robust, and have ability of tackling the uncertainty problems. Based on the merits of type-2 fuzzy sets and variable universe adaptive fuzzy control method, an interval type-2 variable universe adaptive fuzzy logic controller is proposed. The parameters of the interval type-2 membership functions are optimized by particle swarm optimization algorithm to get the most effective interval type-2 variable universe adaptive fuzzy logic controller. Lyapunov method is adopted to verify the stability of the proposed fuzzy logic controller. Finally, the tests of the proposed controller on the Duffing system and 1-dimension 6-scroll chaotic system are performed. Simulation results show that the interval type-2 variable universe adaptive fuzzy logic controller can track the trajectory well and reduce the chattering efficiently, at the same time can keep the control input small compared with variable universe fuzzy logic controller.