| 基于向量Lyapunov函数方法的模糊控制系统稳定性分析和设计 |
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| 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. |
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| 作者姓名： | 孙 衢 李人厚 |
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| 作者单位： | 西安交通大学系统工程研究所, |
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| 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。
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| 关 键 词： | 分散控制 向量Lyapunov函数 模糊控制系统 稳定性 |
| 文章编号： | 1000-8152(2001)04-0555-04 |
| 收稿时间： | 1999/9/20 0:00:00 |
| 修稿时间： | 1999年9月20日 |
Stability Analysis and Design of Fuzzy Control Systems Based on Vector Lyapunov Function Approach |
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| SUN Qu and LI Ren-hou.Stability Analysis and Design of Fuzzy Control Systems Based on Vector Lyapunov Function Approach[J].Control Theory & Applications,2001,18(4):555-558. |
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| Authors: | SUN Qu and LI Ren-hou |
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| Affiliation: | Institute of Systems Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R.China;Institute of Systems Engineering, Xi'an Jiaotong University, Xi'an, 710049, P.R.China |
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| Abstract: | 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. |
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| Keywords: | fuzzy dynamic model fuzzy control decentralized control comective stability vector Lyapunov function |
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