Output Regulation of Polynomial-Fuzzy-Model-Based Control Systems

被引：53

作者：

Lam, H. K. ^{[1
]}

Lo, J. C. ^{[2
]}

机构：

[1] Kings Coll London, Div Engn, Dept Elect Engn, London WC2R 2LC, England

[2] Natl Cent Univ, Dept Mech Engn, Jhongli 32054, Taiwan

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2013年 / 21卷 / 02期

关键词：

Output regulation; polynomial fuzzy-model-based (PFMB) control; stability analysis; sum of squares (SoS); STABILITY ANALYSIS; RELAXED STABILITY; NEURAL-NETWORKS; DYNAMICAL-SYSTEMS; NONLINEAR-SYSTEMS; UNCERTAIN GRADES; TRACKING CONTROL; STABILIZATION; PERFORMANCE; IDENTIFICATION;

D O I：

10.1109/TFUZZ.2012.2211365

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper investigates the output regulation problem of polynomial-fuzzy-model-based (PFMB) control systems with the consideration of system stability and control synthesis using the sum-of-squares (SOS)-based approach. A PFMB control system is formed by a polynomial fuzzy model and a polynomial fuzzy controller with integral action connected in a closed loop. Three cases of PFMB control systems regarding the premise membership functions and number of fuzzy rules, which have their own properties and advantages, are considered. The stability of the PFMB control systems is investigated based on the Lyapunov stability theory. With consideration of the information of membership functions, SOS-based stability conditions corresponding to each case are obtained to guarantee system stability and to realize output regulation. Simulation examples are given to compare the three cases and illustrate the effectiveness of the proposed approach.

引用

页码：262 / 274

页数：13

共 55 条

[1]

[Anonymous], IND ROBOTS COMPUTER

[2] Extensions to "Stability Analysis of Fuzzy Control Systems Subject to Uncertain Grades of Membership" [J].

Arino, Carlos ;

Sala, Antonio .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :558-563

[3]

Boyd S., 1994, LINEAR MATRIX INEQUA

[4] Robust Output Regulation of T-S Fuzzy Systems With Multiple Time-Varying State and Input Delays [J].

Chiu, Chian-Song ;

Chiang, Tung-Sheng .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (04) :962-975

[5] SOFMLS: Online Self-Organizing Fuzzy Modified Least-Squares Network [J].

de Jesus Rubio, Jose .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (06) :1296-1309

[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] A survey on analysis and design of model-based fuzzy control systems [J].

Feng, Gang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (05) :676-697

[8] Stabilization of Nonlinear systems under variable sampling: A fuzzy control approach [J].

Gao, Huijun ;

Chen, Tongwen .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (05) :972-983

[9] Stability Analysis and Stabilization for Discrete-Time Fuzzy Systems With Time-Varying Delay [J].

Gao, Huijun ;

Liu, Xiuming ;

Lam, James .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (02) :306-317

[10] System Identification Using Multilayer Differential Neural Networks: A New Result [J].

Humberto Perez-Cruz, J. ;

Alanis, A. Y. ;

de Jesus Rubio, Jose ;

Pacheco, Jaime .

JOURNAL OF APPLIED MATHEMATICS, 2012,

← 1 2 3 4 5 6 →