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Robust adaptive sliding mode control for uncertain delta operator systems
Author(s) -
Yang Hongjiu,
Xia Yuanqing,
Fu Mengyin,
Shi Peng
Publication year - 2010
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1154
Subject(s) - delta operator , control theory (sociology) , robust control , operator (biology) , adaptive control , sliding mode control , bounded function , controller (irrigation) , norm (philosophy) , mathematics , computer science , control system , engineering , shift operator , nonlinear system , control (management) , physics , compact operator , artificial intelligence , mathematical analysis , repressor , law , chemistry , biology , biochemistry , quantum mechanics , political science , transcription factor , agronomy , programming language , electrical engineering , extension (predicate logic) , gene
In this paper, a robust adaptive sliding mode controller is presented for delta operator systems with mismatched uncertainties and exogenous disturbances. The parameters of the delta operator system are taken for norm‐bounded uncertainties. The exogenous disturbance is also assumed to be bounded. After the statement of a sufficient condition for the existence of linear sliding surface based on linear matrix inequality technique, a robust reaching motion control method for delta operator systems is presented. Afterwards, an adaptive sliding mode controller for delta operator systems is designed. A bridge between the robust adaptive sliding mode control and the delta operator system framework is made. Numerical example is given to illustrate the effectiveness of the developed techniques. Copyright © 2009 John Wiley & Sons, Ltd.