|本期目录/Table of Contents|

[1]张松涛,王淑娟.离散模糊系统的二次稳定控制器设计[J].电机与控制学报,2008,(05):593-597.
 ZHANG Song-tao,WANG Shu-juan.Quadratic stable controller design of discrete fuzzy systems[J].,2008,(05):593-597.
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离散模糊系统的二次稳定控制器设计(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
期数:
2008年05
页码:
593-597
栏目:
出版日期:
2008-09-15

文章信息/Info

Title:
Quadratic stable controller design of discrete fuzzy systems
作者:
张松涛12; 王淑娟1
哈尔滨工业大学电气工程及自动化学院
Author(s):
ZHANG Song-tao12; WANG Shu-juan1
1.School of Electrical Engineering and Automation; Harbin Institute of Technology; 2.School of Logistics; Harbin University of Commerce
关键词:
模糊系统 控制器设计 二次稳定
Keywords:
fuzzy systems controller design quadratic stability
分类号:
TP273.4
DOI:
-
文献标志码:
A
摘要:
为了研究离散T-S模糊系统的二次稳定控制问题,在输入采用双交叠模糊分划的模糊系统的相关性质的基础上,从最大交叠规则组中构造一个离散型的分段Lyapunov函数,并证明了一个新的判定闭环离散模糊控制系统稳定性的充分条件,该条件仅需在每个最大交叠规则组中分别寻找各自公共的正定矩阵。较之以往稳定性判定方法,此方法不仅克服了需要寻找一个公共矩阵的不足,而且也减少了求解Lyapunov不等式的个数。应用并行分布补偿原理设计出使模糊系统全局渐近稳定的控制器,并以一个船舶运动系统为例进行仿真,结果验证了该控制器的有效性。
Abstract:
For the quadratic stable problem of discrete T-S fuzzy systems,a discrete piecewise Lyapunov function was constructed in maximal overlapped-rule groups based on the properties of fuzzy systems with two-overlapped fuzzy partition inputs.And then a new sufficient condition to check the stability of discrete closed-loop T-S fuzzy systems was proposed and proved.This condition only requires finding a common positive definite matrix in each maximal overlapped-rule group.Compared with former stability analysis approaches, this approach can not only overcome the defect of finding a common positive definite matrix but also reduce the number of solving Lyapunov inequalities. In addition, a fuzzy controller was designed to acquire global asymptotically stable fuzzy system models by means of the parallel distributed compensation approach. Finally, for a ship motion system, simulation results demonstrate that the proposed quadratic stable controller is effective.

参考文献/References:

[1]TANAKA K, SUGENO M. Stability analysis and design of fuzzy control system[J]. Fuzzy Sets and Systems, 1992, 45: 135-156.

[2]WANG H O, TANAKA K, GRIFFIN M F. An approach to fuzzy control of nonlinear systems: Stability and design issues[J]. IEEE Transactions on Fuzzy Systems, 1996, 4(1): 14-23.

[3]DAAFOUZ J, RIEDINGER P, LUNG C. Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach[J]. IEEE Transactions on Automatic Control, 2002, 47(11): 1883-1887.

[4]TANAKA K, HORI T, WANG H O. A multiple Lyapunov function approach to stabilization of fuzzy control systems[J].IEEE Transactions on Fuzzy Systems, 2003, 11 (4): 582-589.

[5]WANG W J, SUN C H. A relaxed stability criterion for TS fuzzy discrete systems[J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 2004, 34 (5): 2155-2158.

[6]修智宏, 任光. T-S模糊控制系统的稳定性分析及系统化设计[J]. 自动化学报, 2004, 30(5): 731-741.

XIU Z H, REN G. Stability analysis and systematic design of TS fuzzy control systems[J]. Acta Automatica Sinica, 2004, 30(5): 731-741.

[7]PARK J, KIM J, PARK D. LMIbased design of stabilizing fuzzy controllers for nonlinear systems described by takagi-sugeno fuzzy model[J]. Fuzzy Sets and Systems, 2001, 122: 73-82.

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备注/Memo

备注/Memo:
收稿日期: 2007-12-01
基金项目:辽宁省教育厅科研基金(20060106);中国博士后科学基金(20080430929)
作者简介: 张松涛(1972-),男,博士后,讲师,主要研究方向为模糊控制;
                  王淑娟(1962-),女,博士,教授,博士生导师,主要研究方向为电力电子技术,智能控制。
更新日期/Last Update: 2008-12-12