JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (7): 134-144.doi: 10.6040/j.issn.1671-9352.0.2024.428

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Adaptive finite-time control of nonlinear systems based on time-varying powers and parametric uncertainties

ZHAO Ran, JIANG Mengmeng*, NIU Xiao   

  1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China
  • Published:2026-07-01

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Abstract: For a class of nonlinear systems with parameter uncertainty, the adaptive finite time control problem is studied. The powers of the system are time-varying functions instead of constants, and the nonlinear functions contain parametric uncertainties. In order to solve this problem, an adaptive state feedback controller is designed by cleverly combining the Lyapunov function, the symbolic function, adding a power integrator and adaptive control method, which can ensure that the system with parameter uncertainties and time-varying powers is semi-global practical finite time stability. Finally, the simulation results verify the feasibility and effectiveness of the control method proposed in this study.

Key words: parametric uncertainties, nonlinear systems, semi-globally practical finite-time stable, adaptive control

CLC Number: 

  • O231
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