Stabilization of Takagi–Sugeno Model via Nonparallel Distributed Compensation Law
Stabilization of Takagi–Sugeno Model via Nonparallel Distributed Compensation Law
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DOI：
10.1109/tfuzz.2009.2033192
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发表时间：
2008-06
影响因子：
11.9
通讯作者：
B. Ding
中科院分区：
文献类型：
--
作者：
B. Ding
本文讨论了以 Takagi-Sugeno (T-S) 模型为代表的非线性系统的稳定性问题。基于扩展的非二次Lyapunov函数和非并行分布补偿律，利用适当的松弛矩阵、集合矩阵和高维集合矩阵得到了三个新结果。与一些现有结果相比，前两个结果不太保守，计算成本也较低。第三个结果结合了前两个结果的过程，并且保守性较低，但计算量比前两个结果更昂贵。通过两个数值例子验证了新结果的有效性。
This paper addresses the stabilization of nonlinear systems, which is represented by a Takagi-Sugeno (T-S) model. Based on the extended nonquadratic Lyapunov function and the nonparallel distributed compensation law, three new results are obtained by using appropriate slack matrices, collection matrices, and the higher dimensional collection matrix. The first two results are less conservative, and computationally less expensive, than some of the existing results. The third result combines the procedures of the first two results, and is less conservative, but is computationally more expensive than the first two results. The effectiveness of the new results is validated by two numerical examples.