带有模糊控制器的非线性系统稳定性分析方法

2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing Pub Date : 2006-09-26 DOI:10.1109/SYNASC.2006.10

Marius-Lucian Tomescu, G. Petrov

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引用次数: 5

摘要

本文提出了一种利用Takagi-Sugeno (T-S)模糊控制器(FLC)对非线性过程进行稳定性分析的方法。FLC的设计基于启发式模糊规则。利用具有二次Lyapunov候选函数的Krasovskii-LaSalle不变集定理对该模糊控制模型进行了稳定性分析。证明了如果Lyapunov函数在每条模糊规则的活动区域是负半定的，则整个系统在Lyapunov (ISL)意义上是渐近稳定的。本文所提出的稳定性定理保证了具有FLC的非线性系统稳定的充分条件。最后，给出了稳定性分析方法的一个应用实例

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Stability Analysis Method for Nonlinear Systems with Fuzzy Logic Controller

This paper presented a stability analysis method for nonlinear processes with Takagi-Sugeno's (T-S) fuzzy logic controllers (FLC's). The design of FLC is based on heuristic fuzzy rules. The stability analysis of this fuzzy control model is performed using Krasovskii-LaSalle invariant set theorem with quadratic Lyapunov candidate function. This paper proves that if the Lyapunov function is negative semi-definite in the active region of each fuzzy rule then, the overall system is asymptotic stable in the sense of Lyapunov (ISL). The stability theorem presents in this paper assures sufficient conditions for the stability of the nonlinear system with FLC. The end of the paper contains an illustrative example that describes an application of the method of the stability analysis

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2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing

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