Multi-dimensional Taylor network-based adaptive fixed-time tracking control for a class of nonlinear systems with input delay

• Published in: International journal of control Vol. 98; no. 1; pp. 56 - 67
• Main Authors: Zhou, Ya-Feng, Zhao, Wei, Zhu, Shan-Liang, Han, Yu-Qun, Xing, Jian-Min, Zhou, Qing-Hua
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.01.2025; Taylor & Francis Ltd
• Subjects: Adaptive systems; backstepping technique; Closed loops; Control systems; Delay; Feedback control; Fixed time; input delay; multi-dimensional Taylor network; Nonlinear control; nonlinear system; Nonlinear systems; Tracking control; Tracking errors
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2024.2319752

For the nonlinear systems with input delay, an adaptive fixed-time tracking control strategy based on multi-dimensional Taylor network (MTN) is proposed for the first time. First, to address the main challenge brought by input delay, an auxiliary system is constructed, which transforms the input delay systems into non-delay systems. Second, the MTNs are introduced into the backstepping design process, which reduce the design difficulty by approximating unknown nonlinear functions. Thus, a control scheme subject to low complexity is obtained. Third, aside from ensuring that the tracking error converges within a small neighbourhood of the origin within a fixed-time, the designed control scheme not only makes all signals in the closed-loop system remain bounded, but also avoids the problem of finite-time control relying on initial state. Finally, three simulations are given to prove the feasibility and superiority of the proposed control scheme.