Global finite-time stabilisation for a class of stochastic high-order time-varying nonlinear systems

被引：41
作者：
Gao, Fangzheng [1 ,3 ,4 ]
Wu, Yuqiang [2 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang, Peoples R China
[2] Qufu Normal Univ, Inst Automat, Qufu, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing, Jiangsu, Peoples R China
[4] NYU, Tandon Sch Engn, Brooklyn, NY USA
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2016年 / 89卷 / 12期
关键词：
Stochastic time-varying nonlinear systems; state feedback; adding a power integrator; global finite-time stable in probability; STATE-FEEDBACK STABILIZATION; ADAPTIVE STABILIZATION; NONHOLONOMIC SYSTEMS; STABILITY; DRIVEN; NOISE;
D O I：
10.1080/00207179.2016.1161829
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of global finite-time stabilisation by state feedback is investigated for a class of stochastic high-order nonlinear systems with time-varying nonlinearities. Based on the generalised stochastic Lyapunov theorem on finite-time stability, and by skillfully using the method of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee that the closed-loop system is globally finite-time stable in probability. Finally, several simulation examples are provided to illustrate the effectiveness of the proposed method.
引用
收藏
页码：2453 / 2465
页数：13
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