CONTINUOUS FIXED-TIME CONVERGENT SUPER-TWISTING ALGORITHM IN CASE OF UNKNOWN STATE AND DISTURBANCE INITIAL CONDITIONS

被引：26
作者：
Basin, Michael [1 ,2 ]
Rodriguez-Ramirez, Pablo [1 ]
Garza-Alonso, Alison [1 ]
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：
ASIAN JOURNAL OF CONTROL | 2019年 / 21卷 / 01期
关键词：
Super-twisting algorithm; fixed-time convergence; settling time estimation; SLIDING-MODE CONTROL; STOCHASTIC-SYSTEMS; STABILIZATION; STABILITY; DESIGN; REJECTION; ORDER;
D O I：
10.1002/asjc.1924
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 fixed-time convergent super-twisting-like algorithm designed to provide a direct extension, without any additional terms, of the conventional super-twisting control system, whose state initial condition is unknown and the disturbance initial condition is bounded by a known constant or even completely unknown. The fixed-time convergent super-twisting-like algorithm is first designed for a scalar system and then generalized to a multi-variable one. An upper estimate of its convergence (settling) time is calculated in each case. Several examples are provided to illustrate the obtained theoretical results.
引用
收藏
页码：323 / 338
页数：16
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