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On adaptive sliding mode control without switching gain overestimation
Author(s) -
Cong B.L.,
Chen Z.,
Liu X.D.
Publication year - 2014
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2902
Subject(s) - control theory (sociology) , sliding mode control , tracking error , nonlinear system , bounded function , high gain antenna , mode (computer interface) , computer science , jump , tracking (education) , control (management) , mathematics , engineering , physics , artificial intelligence , psychology , mathematical analysis , pedagogy , quantum mechanics , electrical engineering , operating system
SUMMARY This paper presents some further results on adaptive sliding mode control (ASMC) for a class of nonlinear systems with bounded uncertain parameters. Given a large initial tracking error, current ASMC design generally produces an unnecessarily large switching gain, consequently leading to a serious chattering problem or a large‐amplitude control jump for the continuous counterpart. To solve such an overadaptation problem, the switching gain adaptation mechanism is first analyzed in this paper, and the adaptation induced by the initial tracking error is suggested to be removed. Then, by exploiting the global sliding mode feature of time‐varying sliding mode control and integral sliding mode control, we present two effective methodologies for ASMC design. The proposed ASMC algorithms ensure that there is no overestimation of the switching gain and the system response is not slowed down when a small switching gain is generated. The validity of the proposed methods is verified by both theoretical analysis and simulation results. Copyright © 2012 John Wiley & Sons, Ltd.