Novel State-Feedback Control Designs of Discrete-Time Nonlinear Systems Based on Takagi-Sugeno Fuzzy Model

被引：0

作者：

Zhang, Xiaohui ^{[1
]}

Bai, Xue ^{[2
]}

Sun, Li ^{[3
]}

Zhang, Gang ^{[3
]}

Hu, Junyu ^{[3
]}

机构：

[1] Shenyang Inst Engn, Sch Estate Management Grp, Shenyang 110136, Liaoning, Peoples R China

[2] PAN CHINA Construct Grp Co Ltd, Shenyang Branch, Shenyang 110006, Peoples R China

[3] Shenyang Institute of Engineering, Simulation Ctr, Shenyang 110136, Peoples R China

来源：

2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2013年

关键词：

Nonlinear Systems; Control Synthesis; Discrete-Time Systems; Linear Matrix Inequalities(LMIs); NONQUADRATIC STABILIZATION CONDITIONS; H-INFINITY CONTROL; QUADRATIC STABILIZABILITY; STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the problem of state-feedback control design of discrete-time nonlinear systems based on the Takagi-Sugeno fuzzy model. Sufficient conditions for the existence of fuzzy state-feedback controllers are proposed in terms of linear matrix inequalities, which could guarantee that the underlying closed-loop system is asymptotically stable. Moreover, the conservatism of the obtained state-feedback control designs can be released by introducing some additional matrix variables. Finally, a numerical example is given to illustrate the effectiveness of the approach developed in this paper.

引用

页码：2239 / 2243

页数：5

共 21 条

[1] Continuous Takagi-Sugeno's models: Reduction of the number of LMI conditions in various fuzzy control design technics [J].

Delmotte, F. ;

Guerra, T. M. ;

Ksantini, M. .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (03) :426-438

[2] Reformulation of LMI-based stabilisation conditions for non-linear systems in Takagi-Sugeno's form [J].

Ding, Baocang ;

Huang, Biao .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (05) :487-496

[3] Homogeneous Polynomially Nonquadratic Stabilization of Discrete-Time Takagi-Sugeno Systems via Nonparallel Distributed Compensation Law [J].

Ding, Baocang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (05) :994-1000

[4] POLY-QUADRATIC STABILITY OF DISCRETE-TIME NONLINEAR SYSTEMS IN TAKAGI-SUGENO'S FORM [J].

Ding, Baocang .

ASIAN JOURNAL OF CONTROL, 2009, 11 (06) :610-619

[5] H∞ Controller Synthesis via Switched PDC Scheme for Discrete-Time T-S Fuzzy Systems [J].

Dong, Jiuxiang ;

Yang, Guang-Hong .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (03) :544-555

[6] A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems [J].

Fang, Chun-Hsiung ;

Liu, Yung-Sheng ;

Kau, Shih-Wei ;

Hong, Lin ;

Lee, Ching-Hsiang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (03) :386-397

[7] Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions [J].

Feng, G .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (05) :605-612

[8] LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form [J].

Guerra, TM ;

Vermeiren, L .

AUTOMATICA, 2004, 40 (05) :823-829

[9] New approaches to relaxed quadratic stability condition of fuzzy control systems [J].

Kim, E ;

Lee, H .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (05) :523-534

[10] 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

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