Continuous fixed-time convergent control design for stochastic super-twisting system

被引：12
作者：
Guerra-Avellaneda, Fernando [1 ]
Basin, Michael [1 ,2 ]
机构：
[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza, Nuevo Leon, Mexico
[2] ITMO Univ, St Petersburg, Russia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 16期
关键词：
SLIDING-MODE CONTROL; NONLINEAR-SYSTEMS; STABILITY THEOREM; JUMP SYSTEMS; STABILIZATION;
D O I：
10.1016/j.jfranklin.2019.11.052
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 presents a continuous fixed-time convergent control law driving the states of a stochastic super-twisting system at the origin for a fixed time. The stochastic super-twisting system includes both a stochastic white noise and an unbounded deterministic disturbance satisfying a Lipschitz condition. Sufficient conditions of the fixed-time convergence are obtained. Performance of the developed algorithm is verified with numerical simulations. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：11793 / 11806
页数：14
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