Global stabilisation of high-order nonlinear systems with multiple time delays

被引:50
作者
Sun, Zong-Yao [1 ]
Xie, Xue-Jun [1 ]
Liu, Zhen-Guo [1 ]
机构
[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
high-order nonlinear system; multiple time delays; adding a power integrator; LyapunovKrasovskii functional; FEEDBACK STABILIZATION; ADAPTIVE STABILIZATION; CONTROLLER-DESIGN; OUTPUT TRACKING;
D O I
10.1080/00207179.2012.760046
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 paper focuses on the stabilisation for a class of high-order nonlinear systems with multiple time delays. Growth restriction on system nonlinearities is further relaxed. Design procedures of a continuous controller are provided by the method of adding a power integrator, and the stability of the resulting closed-loop system is rigorously proven with the help of the elegant choice of a LyapunovKrasovskii functional. Finally, a simulation example is provided to demonstrate the validness of the proposed approach.
引用
收藏
页码:768 / 778
页数:11
相关论文
共 32 条
[1]   Adaptive neural network control of nonlinear systems with unknown time delays [J].
Ge, SS ;
Hong, F ;
Lee, TH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) :2004-2010
[2]  
GU K., 2003, CONTROL ENGN SER BIR
[3]  
Hale J.K., 1993, Introduction to Functional Differntial Equations
[4]   Adaptive neural control for a class of nonlinearly parametric time-delay systems [J].
Ho, DWC ;
Li, JM ;
Niu, YG .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2005, 16 (03) :625-635
[5]   Robust backstepping control for a class of time delayed systems [J].
Hua, CC ;
Guan, XP ;
Shi, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :894-899
[6]   Robust controller design of a class of nonlinear time delay systems via backstepping method [J].
Hua, Changchun ;
Feng, Gang ;
Guan, Xinping .
AUTOMATICA, 2008, 44 (02) :567-573
[7]  
Isidori A, 1995, NONLINEAR CONTROL SYSTEMS DESIGN 1995, VOLS 1 AND 2, P87
[8]   A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals [J].
Ito, Hiroshi ;
Pepe, Pierdomenico ;
Jiang, Zhong-Ping .
AUTOMATICA, 2010, 46 (10) :1646-1656
[9]   Adaptive feedback control of nonlinear time-delay systems: The LaSalle-Razumikhin-based approach [J].
Jiao, XH ;
Shen, TL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1909-1913
[10]  
[JIAO XiaoHong 焦晓红], 2007, [自动化学报, Acta Automatica Sinica], V33, P164, DOI 10.1360/aas-007-0164