Adaptive Dynamic Surface Control for a Class of Nonlinear Pure-Feedback Systems with Parameter Drift. (3rd January 2020)

• Record Type: Journal Article
• Authors: He, Cheng; Wu, Jian; Ying, Jin; Dai, Jiyang; Zhang, Zhe; Jiang, Liangxing
• Other Names: Arik Sabri Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-01-03
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/3628658
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In order to solve the problem of unknown parameter drift in the nonlinear pure-feedback system, a novel nonlinear pure-feedback system is proposed in which an unconventional coordinate transformation is introduced and a novel unconventional dynamic surface algorithm is designed to eliminate the problem of "calculation expansion" caused by the use of backstepping in the pure-feedback system. Meanwhile, a sufficiently smooth projection algorithm is introduced to suppress the parameter drift in the nonlinear pure-feedback system. Simulation experiments demonstrate that the designed controller ensures the global and ultimate boundedness of all signals in the closed-loop system and the appropriate designed parameters can make the tracking error arbitrarily small.