连续时间T-S模糊系统的一种二次镇定方法  

Approach to quadratic stabilization for continuous-time T-S fuzzy systems

作　　者：解相朋[1] 宋阳[2] 张化光[1] 

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]鲁东大学地理与规划学院,山东烟台264025

出　　处：《控制与决策》2009年第5期658-662,共5页Control and Decision

基　　金：国家自然科学基金项目(60572070,60521003,60774048,60728307);教育部长江学者及创新团队计划项目(IRT0421)

摘　　要：模糊隶属函数是模糊系统的重要组成部分,在系统镇定中考虑其结构和参数信息可以减少结果的保守性.为此,针对连续时间T-S模糊系统的二次镇定问题,提出一种新的放松二次镇定条件.运用一种有效的附加变量引入方式将隶属函数乘积界这一信息更好地纳入系统的镇定条件中,得到了比以往文献保守性更小的结果.所有结果均以线性矩阵不等式形式给出.仿真结果验证了所提出方法的有效性.The fuzzy membership function is an important part of the T-S fuzzy systems, the conservatism of quadratic stabilization conditions can be released by considering its structure and parameters information. Therefore, a new relaxed quadratic stabilization condition for continuous-time Takagi-Sugeno （T-S） systems is proposed. While the information of the membership functions＇ cross bound is well introduced into the stabilization condition by applying an effective form of introducing additional variables and a less conservative reslut is attained. All the results proposed in this paper are in terms of linear matrix inequality. Finally, the simulation results show the effectiveness of the proposed results.

关 键 词：模糊系统 放松二次镇定条件 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]