Practical prescribed-time tracking control for uncertain strict-feedback systems with guaranteed performance under unknown control directions

• Published in: Journal of Automation and Intelligence Vol. 2; no. 2; pp. 99 - 104
• Main Authors: Zhou Yang, Yujuan Wang, Frank L. Lewis
• Format: Journal Article
• Language: English
• Published: KeAi Communications Co., Ltd 01.05.2023
• Subjects: Practical prescribed-time control; Prescribed performance control; Strict-feedback systems; Unknown control direction
• ISSN: 2949-8554
• DOI: 10.1016/j.jai.2023.02.001

In this paper, we consider the practical prescribed-time performance guaranteed tracking control problem for a class of uncertain strict-feedback systems subject to unknown control direction. Due to the existence of unknown nonlinearities and uncertainties, it is challenging to design a controller that can ensure the stability of closed-loop system within a predetermined finite time while maintaining the specified transient performance. The underlying problem becomes further complex as the control directions are unknown. To deal with the above problems, a special translation function as well as Nussbaum type function are introduced in the prescribed performance control (PPC) framework. Finally, a PPC as well as preset finite time tracking control scheme is designed, and its effectiveness is confirmed by both theoretical analysis and numerical simulation.