一种变论域模糊控制自适应算法

A fuzzy-control adaptive algorithm with variable domain

中文关键词  模糊控制  自适应算法  变论域  仿真

英文关键词  fuzzy control  adaptive algorithms  variable domain  simulation

中文摘要

      针对受控系统非线性、时变性、复杂性和不确定性的特点, 文中采用一种基于模糊控制的变论域自适应控制算法, 将变论域引入模糊控制的隶属函数中, 设计了输入函数的自适应律, 并通过李雅普诺夫函数进行了稳定性分析. 仿真结果表明在有干扰的情况下, 算法能很好的跟踪系统输入, 使系统跟踪误差小且能够保证系统的稳定性.该算法结构简单, 具有良好的鲁棒性和动态性能, 同时克服了系统参数变化对稳定性造成的不利影响. 仿真实例表明了本算法的正确性和有效性.

英文摘要

      To deal with the nonlinearity, time-varying property, complexity and uncertainty in the controlled systems, a variable domain for membership functions is introduced by adopting an adaptive algorithm for changing the domain based on fuzzy control. The adaptive law is designed for input functions, and the stability is then analyzed through Lyapunov function. Simulation results also show that the system output can follow the input variation even in the case of external interferences. This algorithm has simple structure, high robustness and desired dynamic performance; ensuring the stability of the system with low tracking error and eliminating the negative effect on stability caused by system parameter variations. Finally, simulation examples illustrate the validity and feasibility of the results.