Control Synthesis for Discrete-Time T-S Fuzzy Systems Based on Membership Function-Dependent H∞ Performance

被引：69

作者：

Dong, Jiuxiang ^{[1
,2
,3
]}

Hou, Qinghua ^{[2
]}

Ren, Mingming ^{[2
]}

机构：

[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

[3] Northeastern Univ, Key Lab Vibrat & Control Aeroprop Syst, Minist Educ, Shenyang 110819, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2020年 / 28卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Discrete Takagi-Sugeno (T-S) fuzzy system; fuzzy Lyapunov function; H-infinity control; observer; OUTPUT-FEEDBACK CONTROL; NONLINEAR-SYSTEMS; CONTROL DESIGN; STABILIZATION; MODELS;

D O I：

10.1109/TFUZZ.2019.2950879

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This article focuses on disturbance attenuation problem for discrete-time Takagi-Sugeno (T-S) fuzzy systems. First, a membership function-dependent H-infinity performance index is proposed, by which, different performance can be achieved for local subsystems. Then, the better performance may be obtained for the T-S fuzzy system that works on a particular local subsystem most of the time. It may guarantee better control effects in practical engineering applications. With the help of the newly defined performance index and fuzzy Lyapunov functions, an observer-based feedback control scheme is presented in the form of linear matrix inequalities. In simulation, the performance index obtained by this article can be improved by about 10% than that obtained by the traditional H-infinity control method.

引用

页码：3360 / 3366

页数：7

共 32 条

[11] Robust static output feedback control synthesis for linear continuous systems with polytopic uncertainties [J].

Dong, Jiuxiang ;

Yang, Guang-Hong .

AUTOMATICA, 2013, 49 (06) :1821-1829

[12] Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme [J].

Dong, Jiuxiang ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (02) :323-338

[13] Control Synthesis of Continuous-Time T-S Fuzzy Systems With Local Nonlinear Models [J].

Dong, Jiuxiang ;

Wang, Youyi ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (05) :1245-1258

[14]

Fantuzzi C, 1996, FUZZ-IEEE '96 - PROCEEDINGS OF THE FIFTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, P1067, DOI 10.1109/FUZZY.1996.552326

[15] Robust H∞ fuzzy static output feedback control of T-S fuzzy systems with parametric uncertainties [J].

Kau, Shih-Wei ;

Lee, Hung-Jen ;

Yang, Ching-Mao ;

Lee, Ching-Hsiang ;

Hong, Lin ;

Fang, Chun-Hsiung .

FUZZY SETS AND SYSTEMS, 2007, 158 (02) :135-146

[16] Nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time TS fuzzy models: A new approach [J].

Kruszewski, A. ;

Wang, R. ;

Guerra, T. M. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (02) :606-611

[17] Weighted Fuzzy Observer-Based Fault Detection Approach for Discrete-Time Nonlinear Systems via Piecewise-Fuzzy Lyapunov Functions [J].

Li, Linlin ;

Ding, Steven X. ;

Qiu, Jianbin ;

Yang, Ying ;

Zhang, Yong .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (06) :1320-1333

[18] Adaptive Fuzzy Control Design for Stochastic Nonlinear Switched Systems With Arbitrary Switchings and Unmodeled Dynamics [J].

Li, Yongming ;

Sui, Shuai ;

Tong, Shaocheng .

IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (02) :403-414

[19] Adaptive Tracking Control for A Class of Nonlinear Systems With a Fuzzy Dead-Zone Input [J].

Liu, Zhi ;

Wang, Fang ;

Zhang, Yun ;

Chen, Xin ;

Chen, C. L. Philip .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (01) :193-204

[20] Observer-based robust H∞ control for fuzzy systems using two-step procedure [J].

Lo, JC ;

Lin, ML .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (03) :350-359

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