Finite/Fixed-Time Stabilization for Nonlinear Interconnected Systems With Dead-Zone Input

被引：221
作者：
Hua, Changchun [1 ,2 ]
Li, Yafeng [1 ,2 ]
Guan, Xinping [3 ]
机构：
[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Natl Engn Res Ctr Equipment & Technol Cold Strip, Qinhuangdao 066004, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200025, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Finite-time control; fixed time control; interconnected systems; dead-zone input; unmodeled dynamics; OUTPUT-FEEDBACK STABILIZATION; UNMODELED DYNAMICS; STABILITY; DESIGN; FORM; NETWORKS; DELAY;
D O I：
10.1109/TAC.2016.2600343
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The decentralized control problem is considered for a class of nonlinear time-varying interconnected systems. Each subsystem is with the dead-zone input and unmodeled dynamics. The interconnections are bounded by time-varying nonlinear functions, which relaxes the commonly used linear condition or time-invariant condition. Based on the recursive method, we design a new decentralized finite-time controller such that all the state variables reach zero in finite time. The reaching time is based on the design parameters and initial value of system state. Furthermore, the fixed time stability conditions are given and the constructed controller can guarantee the fixed-time stabilization of the system, in which the reaching time only depends the control design parameters. Finally, simulation results are presented to illustrate the effectiveness of proposed method.
引用
收藏
页码：2554 / 2560
页数：7
相关论文
共 23 条
[1]  
Bacciotti A., 2005, Lyapunov Functions and Stability in Control Theory
[2]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[3]   Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems [J].
Du, Haibo ;
Qian, Chunjiang ;
Yang, Shizhong ;
Li, Shihua .
AUTOMATICA, 2013, 49 (02) :601-609
[4]   Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers [J].
Fu, Jun ;
Ma, Ruicheng ;
Chai, Tianyou .
AUTOMATICA, 2015, 54 :360-373
[5]   Finite-time stability for time-varying nonlinear dynamical systems [J].
Haddad, Wassim M. ;
Nersesov, Sergey G. ;
Du, Liang .
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, :4135-+
[6]   Adaptive finite-time control of nonlinear systems with parametric uncertainty [J].
Hong, YG ;
Wang, JK ;
Cheng, DZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) :858-862
[7]   Stabilization of uncertain chained form systems within finite settling time [J].
Hong, YG ;
Wang, JK ;
Xi, ZR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (09) :1379-1384
[8]   FINITE-TIME INPUT-TO-STATE STABILITY AND APPLICATIONS TO FINITE-TIME CONTROL DESIGN [J].
Hong, Yiguang ;
Jiang, Zhong-Ping ;
Feng, Gang .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 48 (07) :4395-4418
[9]   Output feedback stabilization for time-delay nonlinear interconnected systems using neural networks [J].
Hua, Changchun ;
Guan, Xinping .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (04) :673-688
[10]   Global finite-time stabilization of a class of uncertain nonlinear systems [J].
Huang, XQ ;
Lin, W ;
Yang, B .
AUTOMATICA, 2005, 41 (05) :881-888
123