A Novel Stabilization Criterion for Large-Scale T–S Fuzzy Systems
A Novel Stabilization Criterion for Large-Scale T–S Fuzzy Systems
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DOI：
10.1109/tsmcb.2007.896016
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发表时间：
2007-08
期刊：
影响因子：
--
通讯作者：
Wei-Wei Lin-Wei;Wen-June Wang;Shu-Han Yang
中科院分区：
文献类型：
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作者：
Wei-Wei Lin-Wei;Wen-June Wang;Shu-Han Yang
本文研究了大规模Takagi-Sugeno模糊系统的镇定问题。提出了一种新的分散并行分布补偿（PDC）模糊控制器的镇定判据。该准则包含两个不等式和一个负定矩阵。所有互连项和所有分散PDC增益的影响完全包含在负定矩阵中。矩阵的大小取决于子系统的数量，子系统的数量越多，矩阵的大小就越大。利用线性矩阵不等式方法，通过求解该准则中的不等式，综合各个PDC模糊控制器的局部反馈增益，使得整个闭环大模糊系统渐近稳定。最后，我们给出了一个实际的例子来说明所提出的标准的有效性。
This correspondence studies the stabilization problem of large-scale Takagi-Sugeno fuzzy systems. A novel stabilization criterion with decentralized parallel distributed compensation (PDC) fuzzy controller is proposed. The criterion contains two inequalities and one negative definite matrix to be satisfied. The effects of all interconnection terms and all decentralized PDC gains are entirely included in the negative definite matrix. The size of the matrix depends on the number of subsystems; the more the number of subsystems is, the larger the size of the matrix is. By using the linear matrix inequality method, the inequalities in the criterion can be solved to synthesize the local feedback gain of each PDC fuzzy controller such that the whole closed-loop large-scale fuzzy system is asymptotically stable. Finally, we give a practical example to illustrate the effectiveness of the proposed criterion.