A Homogeneous Domination Approach to State Feedback of Stochastic High-Order Nonlinear Systems With Time-Varying Delay

被引：136
作者：
Xie, Xue-Jun [1 ]
Liu, Liang [1 ]
机构：
[1] Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Homogeneous domination approach; state feedback; stochastic high-order nonlinear time-delay systems; STABILIZATION;
D O I：
10.1109/TAC.2012.2208297
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 homogeneous domination approach is introduced to solve the state feedback stabilization problem for stochastic high-order nonlinear systems with time-varying delay. Under the weaker conditions on the drift and diffusion terms, by using the homogeneous domination approach and solving several troublesome obstacles in the design and analysis procedure, a state feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
引用
收藏
页码：494 / 499
页数：6
相关论文
共 14 条
[1]  
[Anonymous], 2001, THESIS
[2]  
Khalil H., 2002, Control of Nonlinear Systems
[3]   Robust control of uncertain systems with polynomial nonlinearity by output feedback [J].
Lei, Hao ;
Lin, Wei .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (06) :692-723
[4]   Inverse optimal stabilization for stochastic nonlinear systems whose linearizations are not stabilizable [J].
Li, Wu-Quan ;
Xie, Xue-Jun .
AUTOMATICA, 2009, 45 (02) :498-503
[5]   OUTPUT-FEEDBACK STABILIZATION OF STOCHASTIC HIGH-ORDER NONLINEAR SYSTEMS UNDER WEAKER CONDITIONS [J].
Li, Wuquan ;
Xie, Xue-Jun ;
Zhang, Siying .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (03) :1262-1282
[6]   State-feedback stabilization for stochastic high-order nonlinear systems with SISS inverse dynamics [J].
Liu, Liang ;
Xie, Xue-Jun .
ASIAN JOURNAL OF CONTROL, 2012, 14 (01) :207-216
[7]   Output-feedback stabilization for stochastic high-order nonlinear systems with time-varying delay [J].
Liu, Liang ;
Xie, Xue-Jun .
AUTOMATICA, 2011, 47 (12) :2772-2779
[8]   Global output feedback stabilization of upper-triangular nonlinear systems using a homogeneous domination approach [J].
Qian, Chunjiang ;
Li, Ji .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2006, 16 (09) :441-463
[9]   Adaptive state-feedback stabilization for high-order stochastic non-linear systems with uncertain control coefficients [J].
Tian, J. ;
Xie, X.-J. .
INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (09) :1503-1516
[10]   State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics [J].
Xie, Xue-Jun ;
Tian, He .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (14) :1343-1362
12