Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint

被引：106
作者：
Fang, Liandi [1 ,2 ]
Ma, Li [1 ]
Ding, Shihong [1 ,3 ]
Zhao, Dean [1 ]
机构：
[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Tongling Univ, Coll Math & Comp Sci, Tongling 244000, Anhui, Peoples R China
[3] Linyi Univ, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 358卷
基金：
美国国家科学基金会;
关键词：
Finite-time stabilization; Stochastic nonlinear systems; Tan-type barrier Lyapunov function; COMPLEX DYNAMICAL NETWORKS; BARRIER LYAPUNOV FUNCTIONS; FEEDBACK STABILIZATION; TRACKING CONTROL; NEURAL-NETWORKS; SYNCHRONIZATION; STABILITY;
D O I：
10.1016/j.amc.2019.03.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the problem of finite-time stabilization in probability for a class of high-order stochastic nonlinear systems with output constraints in which the fractional powers are only required to be positive rather than not less than one. Based on a modified version of adding a power integrator technique and a novel tan-type barrier Lyapunov function, a systematic design approach is developed and a state-feedback controller is constructed. Rigorous mathematical proof shows that the origin of the system is finite-time stable in probability and the constraint requirement on the output is not violated. The effectiveness of the proposed finite-time control scheme is verified by a simulation example. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：63 / 79
页数：17
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