参数不确定的广义T-S模糊系统的最优保成本控制  

Optimal Guaranteed Cost Control for T-S Fuzzy Descriptor Systems with Uncertain Parameters

作　　者：朱宝彦[1] 张庆灵[1] 

机构地区：[1]东北大学系统科学研究所

出　　处：《系统工程理论与实践》2004年第12期49-57,共9页Systems Engineering-Theory & Practice

基　　金：辽宁省普通高校学科带头人基金(124210).

摘　　要：　研究参数不确定的广义T-S模糊系统的最优保成本控制问题.对给定系统所容许的所有不确定参数,设计了状态反馈最优保成本控制器,使得闭环系统不仅渐近稳定而且具有最小性能指标上界.基于LMI处理方法,给出了该控制器存在的充分条件.通过矩阵分解把广义系统的非严格矩阵不等式约束转化为严格矩阵不等式,从而可以像正常系统那样使用LMI工具箱求解控制器.算例显示了所给方法的简洁、有效;所得的性能指标的不同,也说明了最优保成本控制器的良好性能.In this paper, we consider the problems of optimal guaranteed cost control for T-S fuzzy descriptor systems with uncertain parameters. The state feedback optimal guaranteed cost controller is designed such that the resulting closed-loop system is not only asymptotically stable but also ensures the least upper bound of performance for all admissible uncertainties. An sufficient condition for the existence of the controller is given via linear matrix inequalities (LMIs). The nonstrict LMIs for the controller are transformed into strict ones by means of the matrix decomposition. So we may get the solutions directly to the problems via the LMI toolbox like the normal system case. The simpleness and effectiveness of the proposed approach is showed by an example;The difference between the performance measures also demonstrates the perfect performance of the controller.

关 键 词：不确定广义T-S模糊系统 状态反馈 最优保成本控制器 LMI 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]