Open AccessGlobal Dynamic Surface Control for a Class of Nonlinear System
Author(s) -
Yang Zhou,
Wenhan Dong,
Zongcheng Liu,
Yong Chen,
Wenqian Zhang,
Feng Haoming,
Sun Caihao
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1906/1/012015
Subject(s) - control theory (sociology) , controller (irrigation) , nonlinear system , filter (signal processing) , constant (computer programming) , lyapunov function , sliding mode control , surface (topology) , computer science , class (philosophy) , mathematics , consistency (knowledge bases) , control (management) , artificial intelligence , physics , geometry , quantum mechanics , agronomy , computer vision , biology , programming language
The traditional dynamic surface control (DSC) method It can only guarantee the final boundedness of semi-global consistency of the system. Furthermore, the selection of filter time constant has significant influence on the DSC control performance. This paper presents a global dynamic surface control (GDSC) method, which constructs an automatically-updated filter time constant by using a first-order sliding mode differential estimator. Based on the GDSC method, a tracking controller is proposed for a class of nonlinear systems, and it is proved by the Lyapunov theorem that the controller can guarantee the global uniformly ultimately boundedness (GUUB) of the system.