Robust Passivity and Passification for a Class of Singularly Perturbed Nonlinear Systems with Time-Varying Delays and Polytopic Uncertainties via Neural Networks

被引：6

作者：

Wen, Shiping ^{[1
,2
]}

Zeng, Zhigang ^{[1
,2
]}

Huang, Tingwen ^{[3
]}

Bao, Gang ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R China

[3] Texas A&M Univ Qatar, Doha 5825, Qatar

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2013年 / 32卷 / 03期

关键词：

Passivity and passification; SPNS; Time-varying delay; Neural network; STABILITY BOUNDS; CONTROL DESIGN; STABILIZATION;

D O I：

10.1007/s00034-012-9509-8

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper investigates the problem of robust passivity and passification for a class of singularly perturbed nonlinear systems (SPNS) with time-varying delays and polytopic uncertainties via neural networks. By constructing a proper functional and the linear matrix inequalities (LMIs) technique, some novel sufficient conditions are derived to make SPNS passive. The allowable perturbation bound xi* can be determined via certain algebra inequalities, and the proposed controller based on neural network will make SPNS with polytopic uncertainties passive for all xi is an element of (0, xi*). Finally, a numerical example is given to illustrate the theoretical results.

引用

页码：1113 / 1127

页数：15

共 42 条

[1] A stable neural network-based observer with application to flexible-joint manipulators [J].

Abdollahi, F ;

Talebi, HA ;

Patel, RV .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (01) :118-129

[2] H∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints:: An LMI approach [J].

Assawinchaichote, W ;

Nguang, SK .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :579-588

[3] Passivity analysis and passification of discrete-time hybrid systems [J].

Bemporad, Alberto ;

Bianchini, Gianni ;

Brogi, Filippo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (04) :1004-1009

[4] A nonlinear adaptive H-infinity tracking control design in robotic systems via neural networks [J].

Chang, YC ;

Chen, BS .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 1997, 5 (01) :13-29

[5] ON THE STABILITY BOUNDS OF SINGULARLY PERTURBED SYSTEMS [J].

CHEN, BS ;

LIN, CL .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (11) :1265-1270

[6] Maximal stability bounds of singularly perturbed systems [J].

Chen, SJ ;

Lin, JL .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1999, 336 (08) :1209-1218

[7] Robust stabilization of a class of singularly perturbed discrete bilinear systems [J].

Chiou, JS ;

Kung, FC ;

Li, THS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (06) :1187-1191

[8] Passivity and passification for networked control systems [J].

Gao, Huijun ;

Chen, Tongwen ;

Chai, Tianyou .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (04) :1299-1322

[9] Neural network adaptive control for a class of nonlinear uncertain dynamical systems with asymptotic stability guarantees [J].

Hayakawa, Tomohisa ;

Haddad, Wassim A. ;

Hovakimyan, Naira .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (01) :80-89

[10] Robust Sliding Mode Control for Discrete Stochastic Systems With Mixed Time Delays, Randomly Occurring Uncertainties, and Randomly Occurring Nonlinearities [J].

Hu, Jun ;

Wang, Zidong ;

Gao, Huijun ;

Stergioulas, Lampros K. .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2012, 59 (07) :3008-3015

← 1 2 3 4 5 →