Practical Fixed-Time Tracking Control for Strict-Feedback Nonlinear Systems with Flexible Prescribed Performance

Xing Wang, Yongzhi Wang (), Yulong Ji, Ben Niu and Jianing Hu
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Xing Wang: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China
Yongzhi Wang: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China
Yulong Ji: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China
Ben Niu: School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China
Jianing Hu: School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China

Mathematics, 2025, vol. 13, issue 13, 1-15

Abstract: This paper addresses the issue of practical fixed-time tracking control for a class of strict-feedback nonlinear systems subject to external disturbances, while ensuring flexible prescribed performance. First, a fixed-time disturbance observer is designed to estimate the unknown external disturbances. The primary advantage of the proposed fixed-time disturbance observer lies in its capability to estimate both the disturbance itself and its higher-order derivatives in fixed time. In addition, various prescribed performance behaviors can be realized via a set of function transformations, merely by modifying certain critical parameters, without the need to redesign the controller. It is shown that, under the proposed control strategy, the system output can track the reference signal in fixed time, and the tracking error always remains within the prescribed performance boundaries. Finally, the simulation results are provided to demonstrate the feasibility and effectiveness of the proposed control scheme.

Keywords: flexible prescribed performance; practical fixed-time; fixed-time distrubance observer (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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