Design of controllers with arbitrary convergence time

被引：158
作者：
Pal, Anil Kumar [1 ]
Kamal, Shyam [1 ]
Nagar, Shyam Krishna [1 ]
Bandyopadhyay, Bijnan [2 ]
Fridman, Leonid [3 ]
机构：
[1] Indian Inst Technol BHU, Dept Elect Engn, Varanasi, Uttar Pradesh, India
[2] Tech Univ Ilmenau, Control Engn Grp, D-98684 Ilmenau, Germany
[3] UNAM, Fac Ingn, Dept Control Engn & Robot, Coyoacan 04510, DF, Mexico
来源：
AUTOMATICA | 2020年 / 112卷 / 112期
关键词：
Nonlinear control; Nonautonomous system; Backstepping; Lyapunov stability; Free-will arbitrary time stability; SLIDING-MODE CONTROL; FINITE-TIME; STABILITY; SYSTEMS; STABILIZATION; FEEDBACK;
D O I：
10.1016/j.automatica.2019.108710
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, a method for new controller design ensuring the arbitrary time of convergence is proposed. The sufficient condition for Lyapunov stability is also given for this arbitrary chosen time stable system. Disturbances have been taken care of by introducing sliding mode control in the design approach. Finally, the efficacy of the proposed method is illustrated through a practical system, viz., magnetic suspension system. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：8
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