EXPONENTIAL ESTIMATES OF A CLASS OF TIME-DELAY NONLINEAR SYSTEMS WITH CONVEX REPRESENTATIONS

被引：9

作者：

Ramirez, Maximo ^{[1
]}

Villafuerte, Raul ^{[1
]}

Gonzalez, Temoatzin ^{[2
]}

Bernal, Miguel ^{[2
]}

机构：

[1] Hidalgo State Univ, Res Ctr Informat Technol & Syst, Mineral De La Reforma 42184, Hidalgo, Mexico

[2] Sonora Inst Technol, Dept Elect & Elect Engn, Ciudad Obregou 85000, Sonora, Mexico

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2015年 / 25卷 / 04期

关键词：

exponential estimates; time delay systems; TS model; guaranteed cost; convex representations; GUARANTEED COST CONTROL; S FUZZY-SYSTEMS; STOCHASTIC-SYSTEMS; STABILITY ANALYSIS; ROBUST STABILITY; STABILIZATION; CONTROLLER; DESIGN;

D O I：

10.1515/amcs-2015-0058

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 work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov-Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.

引用

页码：815 / 826

页数：12

共 56 条

[1] Robust Decoupling Control Design for Twin Rotor System using Hadamard Weights [J].

Ahmed, Q. ;

Bhatti, A. I. ;

Iqbal, S. .

2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3, 2009, :1009-1014

[2] BILATERAL CONTROL OF TELEOPERATORS WITH TIME-DELAY [J].

ANDERSON, RJ ;

SPONG, MW .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (05) :494-501

[3]

[Anonymous], LMI APPROACH ANAL CO

[4]

[Anonymous], 1967, Stability of Motion

[5]

[Anonymous], 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics

[6] LMI OPTIMIZATION PROBLEM OF DELAY-DEPENDENT ROBUST STABILITY CRITERIA FOR STOCHASTIC SYSTEMS WITH POLYTOPIC AND LINEAR FRACTIONAL UNCERTAINTIES [J].

Balasubramaniam, Pagavathigounder ;

Lakshmanan, Shanmugam ;

Rakkiyappan, Rajan .

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2012, 22 (02) :339-351

[7] Decentralized cooperative aerial-surveillance using fixed-wing miniature UAVs [J].

Beard, Randal W. ;

McLain, Timothy W. ;

Nelson, Derek B. ;

Kingston, Derek ;

Johanson, David .

PROCEEDINGS OF THE IEEE, 2006, 94 (07) :1306-1324

[8]

Bellman R., 1963, Differential -Difference Equations

[9]

Boyd S, 1994, Studies in applied mathematics, V15

[10] Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models [J].

Cao, YY ;

Frank, PM .

FUZZY SETS AND SYSTEMS, 2001, 124 (02) :213-229

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