模糊多项式系统的吸引域估计

EUSFLAT Conf. Pub Date : 2011-08-06 DOI:10.2991/eusflat.2011.35

J. L. Pitarch, C. Ariño, A. Sala

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引用次数: 5

摘要

大多数模糊控制论文检查LMI或SOS稳定性条件，以证明非线性系统的局部稳定性结果(Takagi-Sugeno模糊模型或通过扇区非线性方法的多项式模糊模型)。在考虑到特定感兴趣区域的隶属函数形状的情况下，可以很容易地建立不太保守的稳定性和稳定化条件。本文探讨了局部多项式稳定性的结果，以获得特定系统的最大吸引盆地。

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Estimating domains of attraction of fuzzy polynomial systems

Most fuzzy control papers check LMI or SOS stability conditions in order to prove local stability results of nonlinear systems (Takagi-Sugeno fuzzy models or polynomial fuzzy models via Sector Nonlinearity approach). In case of having into account the shape of the membership functions in a particular region of interest, less conservative stability and stabilization conditions can be easily set up. In this paper local polynomial stability results are explored in order to obtain the largest basin of attraction for a particular system.

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EUSFLAT Conf.

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