Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models

被引：423

作者：

Cao, YY ^{[1
]}

Frank, PM

机构：

[1] Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA

[2] Duisburg Univ, Fac Elect Engn, Dept Measurement & Control, D-47048 Duisburg, Germany

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 124卷 / 02期

关键词：

nonlinear systems; fuzzy control; time-delay; linear matrix inequality (LMI); stability;

D O I：

10.1016/S0165-0114(00)00120-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper concerns with the stability analysis and synthesis of nonlinear retarded systems via linear Takagi-Sugeno (TS) fuzzy model approach, First, the TS fuzzy models with time-delay are present and the stability conditions are derived using Lyapunov-Razumikhin functional approach. Then a stabilization approach for nonlinear retarded systems through fuzzy state feedback and fuzzy observer-based controller is proposed. It shows that the analysis results provide an efficient technique for the design of fuzzy controllers. Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain of the time-delay systems are derived through the numerical solution of a set of coupled linear matrix inequalities. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：213 / 229

页数：17

共 18 条

[1]

[Anonymous], STABILITY CONTROL TI

[2]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[3] ON STABILITY INDEPENDENT OF DELAY FOR LINEAR-SYSTEMS [J].

BRIERLEY, SD ;

CHIASSON, JN ;

LEE, EB ;

ZAK, SH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (01) :252-254

[4] Delay-dependent robust stabilization of uncertain systems with multiple state delays [J].

Cao, YY ;

Sun, YX ;

Cheng, CW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (11) :1608-1612

[5] Robust stabilization of uncertain systems with time-varying multistate delay [J].

Cao, YY ;

Sun, YX .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (10) :1484-1488

[6] STABILIZATION OF UNCERTAIN DYNAMIC-SYSTEMS INCLUDING STATE DELAY [J].

CHERES, E ;

GUTMAN, S ;

PALMOR, ZJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (11) :1199-1203

[7] H-infinity control via output feedback for state delayed systems [J].

Ge, JH ;

Frank, PM ;

Lin, CF .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (01) :1-7

[8]

HALE JK, 1977, THEORY FUNCTIONAL DI

[9] VIBRATIONAL CONTROL OF NONLINEAR TIME-LAG SYSTEMS WITH BOUNDED DELAY - AVERAGING THEORY, STABILIZABILITY, AND TRANSIENT-BEHAVIOR [J].

LEHMAN, B ;

BENTSMAN, J ;

LUNEL, SV ;

VERRIEST, EI .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) :898-912

[10] DESIGN OF ROBUST CONTROLLERS FOR TIME-DELAY SYSTEMS [J].

MAHMOUD, MS ;

ALMUTHAIRI, NF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) :995-999

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