Finite-time robust passive control for a class of uncertain Lipschitz nonlinear systems with time-delays

被引：69

作者：

Song, Jun ^{[1
]}

He, Shuping ^{[1
]}

机构：

[1] Anhui Univ, Sch Elect Engn & Automat, Hefei 230601, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 159卷

基金：

中国国家自然科学基金;

关键词：

Lipschitz conditions; Uncertain nonlinear systems; Time delays; Finite-time boundedness (FTB); Robust passive controller; H-INFINITY CONTROL; SLIDING MODE CONTROL; STOCHASTIC-SYSTEMS; SWITCHED SYSTEMS; NEURAL-NETWORKS; LINEAR-SYSTEMS; JUMP SYSTEMS; OBSERVER; SUBJECT; STABILITY;

D O I：

10.1016/j.neucom.2015.01.038

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The finite-time passive control for a class of nonlinear uncertain systems with time-delays and uncertainties is studied. The nonlinear parameters are satisfied Lipschitz conditions. An optimal robust passive controller with respect to the finite-time interval is designed while the exogenous disturbances are unknown but energy bounded. Based on passive control theory, the sufficient condition for the existence of finite-time robust passive controller is given. This condition such that the resulting closed-loop system is finite-time boundedness (FIB) for all admissible uncertainties and satisfies the given passive control index. By using the constructed Lyapunov function, and applying linear matrix inequalities techniques (LMIs), the design method of the finite-time optimal passive controller is derived and can be obtained. Simulation results demonstrate the validity of the proposed approach. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：275 / 281

页数：7

共 39 条

[1] Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems [J].

Amato, F. ;

De Tommasi, G. ;

Pironti, A. .

AUTOMATICA, 2013, 49 (08) :2546-2550

[2] State constrained control of impulsive quadratic systems in integrated pest management [J].

Amato, F. ;

De Tommasi, G. ;

Merola, A. .

COMPUTERS AND ELECTRONICS IN AGRICULTURE, 2012, 82 :117-121

[3] Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].

Amato, F ;

Ariola, M ;

Dorato, P .

AUTOMATICA, 2001, 37 (09) :1459-1463

[4]

[Anonymous], IEEE T FUZZY SYST

[5]

Cao YY, 2000, IEEE T AUTOMAT CONTR, V45, P77, DOI 10.1109/9.827358

[6] Sliding mode control for stochastic Markovian jumping systems subject to successive packet losses [J].

Chen, Bei ;

Niu, Yugang ;

Zou, Yuanyuan .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (04) :2169-2184

[7] An adaptive lag-synchronization method for time-delay chaotic systems [J].

Chen, CL ;

Feng, G ;

Guan, XP .

ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, :4277-4282

[8] Robust nonlinear observer for Lipschitz nonlinear systems subject to disturbances [J].

Chen, Min-Shin ;

Chen, Chi-Che .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (12) :2365-2369

[9] Stability Analysis of Time-Delay Neural Networks Subject to Stochastic Perturbations [J].

Chen, Yun ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON CYBERNETICS, 2013, 43 (06) :2122-2134

[10] Stability and L2 Performance Analysis of Stochastic Delayed Neural Networks [J].

Chen, Yun ;

Zheng, Wei Xing .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (10) :1662-1668

← 1 2 3 4 →