Global stabilisation for a class of stochastic continuous non-linear systems with time-varying delay

被引:2
|
作者
Shao, Yu [1 ]
Xu, Shengyuan [1 ]
Li, Yongmin [2 ]
Chu, Yuming [2 ]
Zhang, Zhengqiang [3 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Peoples R China
[2] Huzhou Teachers Coll, Sch Sci, Huzhou, Zhejiang, Peoples R China
[3] Qufu Normal Univ, Sch Elect Engn & Automat, Rizhao, Peoples R China
来源
IET CONTROL THEORY AND APPLICATIONS | 2021年 / 15卷 / 02期
关键词
OUTPUT-FEEDBACK CONTROL; TRACKING CONTROL; FUZZY-SYSTEMS;
D O I
10.1049/cth2.12041
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 studies the problem of global stabilisation for a class of continuous but non-smooth stochastic non-linear systems with time-varying delays. Other than the traditional backstepping recursive control, a concise controller of the nominal system is firstly designed by employing the homogenous domination approach, which overcomes the problem of calculating explosion produced by the diffusion and Hessian terms. Then, by means of an appropriate Lyapunov-Krasoviskii functional and a design parameter, the negative effects of the time delays and non-linear terms generated in the controller design process are dominated; the global asymptotic stability of the closed-loop system can be ensured by the simple but effective controller, which provides significant cost savings. Finally, a simulation example is given to demonstrate the effectiveness of the presented scheme.
引用
收藏
页码:297 / 306
页数:10
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