Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems

被引：72
作者：
Li, Wuquan [1 ]
Liu, Xiaohua [1 ]
Zhang, Siying [2 ]
机构：
[1] Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China
[2] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
来源：
AUTOMATICA | 2012年 / 48卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Adaptive state-feedback stabilization; Power order restriction; Growth condition; Stochastic high-order nonlinear systems; BACKSTEPPING CONTROLLER-DESIGN; INVERSE DYNAMICS; UNKNOWN COVARIANCE; TRACKING; DRIVEN; SMOOTH; NOISE;
D O I：
10.1016/j.automatica.2012.05.035
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 aims to relax the results in Xie and Tian (2009) from the following two aspects: completely removing the power order restriction and largely relaxing the growth conditions of nonlinear functions. By using the backstepping design method and homogeneous domination technique, this paper investigates the problem of adaptive state-feedback stabilization for a class of stochastic high-order nonlinear systems with nonlinear parameterization. The closed-loop system can be proved to be globally stable in probability and the states can be regulated to the origin almost surely. The efficiency of the adaptive state-feedback controller is demonstrated by a simulation example. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1667 / 1675
页数：9
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