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T—S非线性时滞系统的镇定研究
引用本文:苏亚坤,陈兵,王仿桐.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),2009,31(5):99-104.
作者姓名:苏亚坤  陈兵  王仿桐
作者单位:1. 渤海大学,数学系,辽宁,锦州,121000;青岛大学,复杂性科学研究所,山东,青岛,266071
2. 青岛大学,复杂性科学研究所,山东,青岛,266071
3. 锦州石化包装制品有限公司,辽宁,锦州,121000
基金项目:国家自然科学基金项目 
摘    要:研究了一类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,引入自由权矩阵和三重积分,以线性矩阵不等式的形式给出了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  时滞  模糊控制  线性矩阵不等式

Stabilization for T-S Nonlinear Systems with Time-Delay
Su Yakun,Chen Bing,Wang Fangtong.Stabilization for T-S Nonlinear Systems with Time-Delay[J].Journal of China Three Gorges University(Natural Sciences),2009,31(5):99-104.
Authors:Su Yakun  Chen Bing  Wang Fangtong
Institution:Su Yakun,Chen Bing, Wang Fangtonga(1. Department of Mathematics, Bohai University, Jinzhou 121000, China; 2. Institute of Complexity Sci- ence, Qingdao University, Qingdao 266071, China; 3. Jinzhou Petrochemical Packing Product Co. Ltd.,Jinzhou 121000, China)
Abstract:Problem of delay-dependent stability analysis and stabilization for T-S nonlinear delay systems is dealt with. By constructing new Lya.punov functions which include fuzzy membership functions, the fuzzy weighing matrices and triple 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  delay  fuzzy control  linear matrix inequality
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