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Electrical Engineering and Systems Science > Systems and Control

arXiv:2305.00505 (eess)
[Submitted on 30 Apr 2023]

Title:Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions

Authors:Chaoqun Guo, Jiangping Hu, Jiasheng Hao, Sergej Celikovsky, Xiaoming Hu
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Abstract:In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained and unconstrained cases in a unified way. Further, a radial basis function neural network is constructed to approximate the unknown dynamics in the system and a fixed-time dynamic surface control (FDSC) technique is developed to facilitate the fixed-time control design for the uncertain high-order pure-feedback system. Combined with the proposed unified transformation function and the FDSC technique, an adaptive fixed-time control strategy is proposed to guarantee the fixed-time tracking. The proposed fixed-time control strategy can guarantee uniform control structure when addressing both constrained and unconstrained situations. Numerical examples are presented to demonstrate the proposed fixed-time tracking control strategy.
Subjects: Systems and Control (eess.SY); Mathematical Physics (math-ph)
Cite as: arXiv:2305.00505 [eess.SY]
  (or arXiv:2305.00505v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2305.00505

Submission history

From: Chaoqun Guo [view email]
[v1] Sun, 30 Apr 2023 15:20:34 UTC (1,738 KB)
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