Stability of slowly varying Takagi-Sugeno fuzzy systems

Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569) Pub Date : 2001-07-25 DOI:10.1109/NAFIPS.2001.944256

R. Pytelková, P. Hušek

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引用次数: 2

Abstract

Presents a method for analyzing the stability of slowly varying Takagi-Sugeno fuzzy systems with linear submodels in the consequents of rules. This method can be used for both continuous-time and discrete-time systems and is based on transformation of the problem of stability of Takagi-Sugeno fuzzy systems to the problem of stability of polynomials with coefficients polynomically depending on weights of rules. It is supposed that the plant is described by the Takagi-Sugeno fuzzy system with linear state-space or input-output submodels in the consequents of rules and the controller by the Takagi-Sugeno fuzzy system with linear state feedback submodels or dynamic output feedback controllers in the consequents of rules. The problem of the stability analysis of such systems can be transformed to the problem of the stability analysis of polynomials with polynomic structure of its coefficients. This problem can be solved by the modified Jury (for discrete-time systems) or by the modified Routh or Hurwitz criterion (for continuous-time systems).

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慢变Takagi-Sugeno模糊系统的稳定性

提出了一种在规则结果中分析具有线性子模型的慢变Takagi-Sugeno模糊系统稳定性的方法。该方法将Takagi-Sugeno模糊系统的稳定性问题转化为基于规则权值的多项式多项式稳定性问题，可用于连续系统和离散系统。假设被控对象由具有线性状态空间或输入输出子模型的Takagi-Sugeno模糊系统描述，控制器由具有线性状态反馈子模型或具有动态输出反馈控制器的Takagi-Sugeno模糊系统描述。这类系统的稳定性分析问题可以转化为系数结构为多项式的稳定性分析问题。这个问题可以用修正的Jury准则(对于离散时间系统)或修正的Routh或Hurwitz准则(对于连续时间系统)来解决。

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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Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569)

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