Finite‐time adaptive control for nonlinear systems with uncertain parameters based on the command filters. (9th June 2021)

• Record Type: Journal Article
• Authors: Ding, Jiling; Zhang, Weihai
• Is Part Of: International journal of adaptive control and signal processing. Volume 35:Number 9(2021)
• Page Start: 1754
• Page End: 1767
• Publication Date: 2021-06-09
• Subjects: adaptive control -- backstepping -- command filter -- finite‐time stable -- tracking error; Adaptive control systems -- Periodicals; Adaptive signal processing -- Periodicals; 629.836
• DOI: 10.1002/acs.3287
• Languages: English
• ISSNs: 0890-6327

Abstract

Summary: The trajectory tracking control problem for a class of nonlinear systems with uncertain parameters is considered in this article. A new adaptive finite‐time tracking control is designed based on the adaptive backstepping method via the command filters. The command filter mechanism can avoid the calculation of partial derivatives and solve the "explosion of complexity" in the backstepping design. The compensation signals are introduced to eliminate errors produced by the command filters. The proposed adaptive backstepping control can guarantee the tracking error remains in a small neighborhood of the origin in finite time, while the practical finite‐time stability of the control systems with uncertain parameters is proven by the stability criterion. The effectiveness of the proposed scheme is verified by some simulation results.