引用本文:孙 衢,李人厚.基于向量Lyapunov函数方法的模糊控制系统稳定性分析和设计[J].控制理论与应用,2001,18(4):555~558.[点击复制]
SUN Qu,LI Ren-hou.Stability Analysis and Design of Fuzzy Control Systems Based on Vector Lyapunov Function Approach[J].Control Theory and Technology,2001,18(4):555~558.[点击复制]
基于向量Lyapunov函数方法的模糊控制系统稳定性分析和设计
Stability Analysis and Design of Fuzzy Control Systems Based on Vector Lyapunov Function Approach
摘要点击 1024  全文点击 1533  投稿时间:1999-09-20  修订日期:2000-03-03
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DOI编号  
  2001,18(4):555-558
中文关键词  模糊动态模型  模糊控制  分散控制  关联稳定性  向量Lyapunov函数
英文关键词  fuzzy dynamic model  fuzzy control  decentralized control  comective stability  vector Lyapunov function
基金项目  
作者单位
孙 衢 西安交通大学 系统工程研究所, 西安 710049 
李人厚 西安交通大学 系统工程研究所, 西安 710049 
中文摘要
      采用模糊动态模型对连续时间非线性系统进行模糊控制, 对闭环模糊系统的稳定性进行分析, 并给出系统化的控制器设计程序; 在一系列局部模型通过模糊隶属函数连接得到的连续的全局模型中, 全面考虑其它关联子系统对标称线性系统的摄动, 并利用向量Lyapunov函数的概念和方法, 得到了闭环模糊系统稳定的充分条件; 仿真例子验证了该设计方法的正确性.
英文摘要
      A fuzzy control system for continuous-time nonlinear systems is presented, which is based on fuzzy dynamic model; The stability of the closed-loop fuzzy system is analyzed. Then systematic procedure to design fuzzy controllers is formulated. A sed of local linear models are linked together by fuzzy membership function to obtain the continuous global model. By considering the fuzzy system as a set of nominal linear systems subject to perturbations contributed by other interacting subsystems, a sufficient condition for the stability of the closed-loop fuzzy system is derived via the concept of vector Lyapunov function. The validity of the fuzzy model based control technique if illustrated by a simulation example.