Premium
A robust adaptive dynamic surface control for a class of nonlinear systems with unknown Prandtl–Ishilinskii hysteresis
Author(s) -
Zhang Xiuyu,
Lin Yan,
Mao Jianqin
Publication year - 2010
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.1652
Subject(s) - backstepping , control theory (sociology) , nonlinear system , tracking error , initialization , convergence (economics) , residual , computer science , scheme (mathematics) , hysteresis , robust control , class (philosophy) , adaptive control , mathematics , control (management) , algorithm , mathematical analysis , physics , artificial intelligence , quantum mechanics , economics , programming language , economic growth
In this paper, a robust adaptive dynamic surface control for a class of uncertain perturbed strict‐feedback nonlinear systems preceded by unknown Prandtl–Ishlinskii hysteresis is proposed. The main advantages of our scheme are that the explosion of complexity problem can be eliminated when the hysteresis is fused with backstepping design and, by introducing an initialization technique, the ℒ ∞ performance of system tracking error can be achieved. It is proved that the new scheme can guarantee semi‐global uniform ultimate boundedness of all closed‐loop signals and make the convergence of the tracking error to an arbitrarily small residual set. Simulation results are presented to demonstrate the efficiency of the proposed scheme. Copyright © 2010 John Wiley & Sons, Ltd.