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Stabilization of Takagi-Sugeno Model via Non-parallel Distributed Compensation Law

机译:通过非平行分布式赔偿法稳定Takagi-Sugeno模型

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This paper addresses the stabilization of nonlinear systems represented by a discrete-time Takagi-Sugeno (T-S) model Based on the extended nonquadratic Lyapunov function and the non-parallel distributed compensation law, the improvement over the existing results is achieved via introducing new slack matrices, new collection matrices and the higher dimensional collection matrix. We note that T-S model is a nice platform to test various stabilization conditions solvable via linear matrix inequality techniques, and suggest future directions on this research area. The effectiveness of the new results is validated by a numerical example.
机译:本文解决了基于扩展的非规章Lyapunov函数和非平行分布式补偿法所代表的离散时间Takagi-Sugeno(TS)模型表示的非线性系统的稳定性,通过引入新的松弛矩阵实现了对现有结果的改进,新的集合矩阵和较高的维度集矩阵。我们注意到,T-S模型是一种漂亮的平台,可以通过线性矩阵不等式技术来测试各种稳定条件,并建议在该研究区域的未来方向。通过数值示例验证了新结果的有效性。

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