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一类不确定T-S非线性时滞系统的镇定研究
引用本文:张红,孔令花,万莹.一类不确定T-S非线性时滞系统的镇定研究[J].三峡大学学报(自然科学版),2012,34(3):94-99.
作者姓名:张红  孔令花  万莹
作者单位:大连海洋大学理学院,辽宁大连,116023
基金项目:辽宁省教育厅科学技术研究项目
摘    要:研究了一类不确定T-S非线性时滞系统的稳定性分析与镇定问题.通过构造新的模糊权依赖型Lyapunov泛函,引用自由权矩阵和二重积分,以线性矩阵不等式的形式给出了不确定非线性时滞系统的稳定和镇定的充分条件,最后以仿真例子说明了所提方法的有效性.

关 键 词:T-S模型  线性分式不确定性  时滞  模糊控制  线性矩阵不等式

Stabilization for a Class of T-S Uncertain Nonlinear Systems with Time-Delay
Zhang Hong , Kong Linghua , Wan Ying.Stabilization for a Class of T-S Uncertain Nonlinear Systems with Time-Delay[J].Journal of China Three Gorges University(Natural Sciences),2012,34(3):94-99.
Authors:Zhang Hong  Kong Linghua  Wan Ying
Institution:Zhang Hong Kong Linghua Wan Ying (School of Science, Dalian Ocean Univ. , Dalian 116023, China)
Abstract:Problem of delay-dependent stability analysis and stabilization for a class of T-S uncertain nonlinear delay systems is studied. By constructing new Lyapunov functionals which include fuzzy membership functions, the fuzzy weighing matrices and double integrals are introduced, Based on the feasibility solutions of some linear matrix inequalities, the delay-dependent stability criteria and the new stabilization design scheme are derived. Finally, numerical examples are given to show the effectiveness of the results.
Keywords:T-S model  linear fractional uncertainty  timedelay  fuzzy concrol  linear matrix inequalitiy
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