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一类不确定模糊动态时滞系统保成本控制
LMI approach to guaranteed cost control for a class of uncertain dynamic time-delay systems
【摘要】 针对一类不确定非线性动态时滞系统 ,利用模糊 T- S模型 ,通过状态反馈对保成本控制问题进行研究。应用线性矩阵不等式给出模糊闭环系统渐近稳定的充分条件 ,保证了所有允许的不确定闭环系统是稳定的 ,而且对于一个给定的二次型成本函数 ,能保证闭环成本不超过某个界。仿真结果表明所提出的控制方法是有效的。
【Abstract】 The guaranteed cost control problem via memory less feedback controllers is studied for a class of fuzzy dynamic time-delay systems with norm-bounded time-varying parametric uncertainty. A sufficient condition for the stability of fuzzy closed-loop system is given in terms of linear matrix inequalities (LMIs). All allowable uncertain closed-loop systems are guaranteed to be stable. For a given quadratic cost function, the cost is bounded in a limitation. The simulation results show that the control method is effective.
【关键词】 非线性时滞不确定系统;
模糊系统;
成本函数;
LMI方法;
【Key words】 Uncertain nonlinear time-delay systems; Fuzzy system; Cost function; LMI approach;
【Key words】 Uncertain nonlinear time-delay systems; Fuzzy system; Cost function; LMI approach;
【基金】 国家杰出青年科学基金资助项目 (6 982 5 10 6 ) ;教育部高等学校骨干教师计划资助项目
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2003年02期
- 【分类号】TP273.4
- 【被引频次】10
- 【下载频次】119