Year: 2025
Type: article
Abstract: The paper investigates the the problem of non-overshooting tracking prescribed finite-time control for nonlinear pure-feedback systems is studied. Currently, most existing results focus on nonlinear strict-feedback systems, while studies on the more general pure-feedback systems are scarce. Moreover, the available conditions for ensuring non-overshooting performance are conservative, making it difficult to select appropriate constraints for diverse engineering applications. In this paper, we design a prescribed finite-time controller by proposing a new prescribed finite-time lemma and the backstepping technique. At the same time, a relatively simple closed-loop system is obtained. Furthermore, an analytical expression for the tracking error is derived, which facilitates the analysis of a wider range of non-overshooting conditions and thereby reduces conservatism. The proposed approach not only solves the problem of prescribed finite-time control, but also solves the problem of non-overshooting control. Finally, the simulation examples demonstrate the effectiveness of the proposed algorithm.
Authors: Zhijia Zhu, Suyin Liao, Fujin Jia
Institution: Anhui University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Awards: G1774728395, G7947724609
OpenAlex ID: W7117484764