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] |
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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 1292 全文点击 1640 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 |
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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. |