Time-Varying Lyapunov Functions for Tracking Control of Mechanical Systems With and Without Frictions

Autor: Weizheng Ren, Bin Zhang, Haiyuan Li, Lutao Yan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: IEEE Access, Vol 8, Pp 51510-51517 (2020)
Druh dokumentu: article
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2020.2980492
Popis: In this paper, the tracking control problem is investigated for time-varying nonlinear mechanical systems with and without frictions. A reduced-order dynamic and a traditional time-invariant Lyapunov design method is utilized for the case without frictions. Based on the traditional results, a new class of time-varying Lyapunov functions is provided for the case with time-varying frictions. It is shown that the tracking errors of the closed-loop system will converge to the neighborhood of the origin, which is determined by the feedback parameters. Numerical examples are presented for illustration.
Databáze: Directory of Open Access Journals