[1]李东升,邵 山,陈 军,等.不确定隶属函数T-S模糊控制器设计与稳定分析[J].智能系统学报,2010,5(1):17-23.
　LI Dong-sheng,SHAO Shan,CHEN Jun,et al.Design and stability analysis of a fuzzy controller with uncertain degrees of membership[J].CAAI Transactions on Intelligent Systems,2010,5(1):17-23.
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不确定隶属函数T-S模糊控制器设计与稳定分析

《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷: 5 期数: 2010年第1期 页码: 17-23 栏目: 学术论文—人工智能基础 出版日期: 2010-02-25
Title:
Design and stability analysis of a fuzzy controller with uncertain degrees of membership
文章编号:
1673-4785(2010)01-0017-07
作者:
李东升1，邵 山2，陈 军1，魏 晨1，段海滨1，邹 杰3
1.北京航空航天大学 飞行器控制一体化技术国防科技重点实验室，北京 100191；
?2.沈阳飞机设计研究所 飞行控制部，辽宁 沈阳 110035；
?3.洛阳电光设备研究所 火力控制技术国防科技重点实验室，河南 洛阳 471009
Author(s):
LI Dong-sheng1, SHAO Shan2, CHEN Jun1, WEI Chen1, DUAN Hai-bin1, ZOU Jie3
1.National Key Laboratory of Science and Technology on Holistic Flight Control, Beihang University, Beijing 100191, China;
2.Department of Flight Control, Shenyang Aircraft Design and Research Institute, Shenyang 110035, China;
3.Key Laboratory of National Defense Science and Technology on Fire Control Technology, Luoyang Institute of ElectroOptical Equipment, Luoyang 471009, China
关键词:
T-S模糊模型; 模糊控制器; 隶属函数; 线性矩阵不等式(LMI); 不确定隶属度
Keywords:
TakagiSugeno(T-S) fuzzy model;  fuzzy controller;  membership function;  linear matrix inequality(LMI);  uncertain grades of membership
分类号:
TP273.4
文献标志码:
A
摘要:
针对许多非线性系统存在的结构不确定和难以用精确数学模型表达等问题，在研究基本TakagiSugeno(T-S)模糊模型的基础上，通过增加一个隶属函数自由变量，利用线性矩阵不等式(LMI)设计了一个使得闭环系统渐进稳定的状态反馈控制器，并给出稳定条件.所得到的条件充分利用了前件变量隶属函数的结构信息和后件局部子系统之间的相互关系，降低了常规T-S模糊系统的稳定性条件的保守性和求解难度.通过仿真实例验证了该方法的可行性和有效性
Abstract:
Many nonlinear systems are so uncertain that they are difficult to be described accurately with mathematical models. Following an analysis of the basic TakagiSugeno (TS) fuzzy model, by adding a free variable in the membership function, we were able to design a state feedback controller using linear matrix inequalities (LMI). The controller made the closedloop system tend to an asymptotic stability. Stable conditions made full use of relationships between constructive information about prior states and the consequences of actions in local subsystems. The proposed method reduced the complexity of descriptions of the conditions leading to stability in conventional TS fuzzy models and also reduced complexity when solving related problems. Experimental results indicated that the proposed approach is feasible and effective.
参考文献/References:
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［2］SUGENO M, KANG G T. Structure identification of fuzzy model［J］. Fuzzy Sets and Systems, 1988, 28: 1533.
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［5］FANG C, LIU Y, KAU S, et al. A new LMIbased approach to relaxed quadratic stabilization of TS fuzzy control systems［J］. IEEE Transactions on Fuzzy Systems, 2006, 14(3): 386397.
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［7］CHEN Zhaona, LIU Bin, JING Yuanwei. Robust stabilization for TS fuzzy control systems with parametric uncertainties via LMI approach［C］//Proceedings of Chinese Control and Decision Conference. Yantai, China, 2008: 33983402.
［8］LAM H K, LEUNG F H F. Stability analysis of fuzzy control systems subject to uncertain grades of membership［J］. IEEE Transactions on Systems, Man, and CyberneticsPart B: Cybernetics, 2005, 35(6): 13221325.
［9］CARLOS A, ANTONIO S. Extensions to “stability analysis of fuzzy control systems subject to uncertain grades of membership”［J］. IEEE Transactions on Systems, Man, and CyberneticsPart B: Cybernetics, 2008, 38(2): 558563.
［10］LIU X, ZHANG Q. New approaches to control designs based on fuzzy observers for TS fuzzy systems via LMI［J］. Automatica, 2003, 39: 15711582.
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备注/Memo

收稿日期：2009-10-16.
基金项目：
国家自然科学基金资助项目(60474499);
航空科学基金重点资助项目(2008ZC01006);
北京科技新星计划资助项目(2007A017);
总装重点实验室基金资助项目(9140C4602010802).
通信作者：
李东升. E-mail: shengdongli@163.com.
作者简介：李东升，男，1984年生，硕士研究生，主要研究方向为模糊系统、智能控制等.

邵 山，男，1972年生，高级工程师，主持型号及预研项目多项，主要研究方向为先进飞行控制、智能控制等.
陈 军，男，1984年生，硕士研究生，主要研究方向为模糊控制、智能信息处理、多机器人协同控制等.
魏 晨，女，1972年生，副教授、硕士生导师，主要研究方向为模糊系统、网络控制、非线性鲁棒控制等.主持国家自然科学基金、航空科学基金等课题多项.发表学术论文20余篇.
段海滨，男，1976年生，副教授、博士生导师，IEEE Senior Member.主要研究方向为智能飞行控制与制导、多飞行器协同控制与智能决策、仿生智能计算理论及应用、计算机视觉等.主持国家自然科学基金、国家“863”项目、航空科学基金等多项课题.曾获中国航空学会科学技术一等奖、国防科学技术进步三等奖，北航优秀硕士学位论文指导教师，江苏省优秀博士学位论文获得者.授权发明专利5项、实用新型专利2项.发表学术论文多篇，其中被SCI检索10余篇、EI检索20余篇.

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