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Volume 13 Issue 8
Aug.  2026

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2026  >  13(8): 1904-1914
L. Zhang, X. Liu, C. Qian, and C. Hua, “A new result of prescribed-time control for uncertain nonlinear systems and its applications to higher-order tracking,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 8, pp. 1904–1914, Aug. 2026. doi: 10.1109/JAS.2025.125987
Citation: L. Zhang, X. Liu, C. Qian, and C. Hua, “A new result of prescribed-time control for uncertain nonlinear systems and its applications to higher-order tracking,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 8, pp. 1904–1914, Aug. 2026. doi: 10.1109/JAS.2025.125987
shu

A New Result of Prescribed-Time Control for Uncertain Nonlinear Systems and Its Applications to Higher-Order Tracking

doi: 10.1109/JAS.2025.125987
Funds:  This work was supported in part by the National Natural Science Foundation of China (62273297, 62103353), the Hebei Natural Science Foundation (F2025203114), the Youth Top Talent Project of Hebei Province (HY2024050021), the Backbone Talent Project of Hebei Province (Study Abroad Return Platform) (A2026018), and Top Young Talents of the Education Department of Hebei Province (BJ2025108)
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    Abstract
  • In this paper, the problem of the prescribed-time control for uncertain nonlinear systems is considered, and new design and analysis methods are presented. First, to evaluate the convergence of higher-order derivatives of the states and estimate the convergence rate of each state as time approaches the terminal time, a novel prescribed-time higher-order stability theorem is provided. Then, in accordance with the proposed criterion and the multivariate Faà di Bruno’s formula, new design and analysis architectures are proposed for the adaptive prescribed-time control and the robust prescribed-time control, which avoid the widely encountered issue of indeterminate form limit analysis in the no-scaling prescribed-time control method, thus the benefits of the scaling and no-scaling approaches are taken together. In addition, the proposed strategies are applied to the development of the prescribed-time higher-order tracking controller, enhancing the smoothness of the tracking process. Finally, several simulation examples of a real system are given to illustrate the effectiveness and superiority of the algorithms.

     

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