Adaptive Fixed-Time Control for High-Order Nonlinear Systems With Unknown Control Coefficients and Quantized Input

• 成果类型: Article
• 署名作者: Ma, Jiali; Fei, Shumin; Xu, Shengyuan; Cui, Guozeng
• 署名单位: Nanjing University of Science & Technology; Southeast University - China; Suzhou University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3329340
• 发表日期: 2024
• 页码: 1928-1935
• 关键词: Nonlinear systems; asymptotic stability; switches; Stability criteria; Thermal stability; Lyapunov methods; Closed loop systems; fixed-time control; high-order nonlinear systems; quantized input; unknown control coefficients

摘要

This article considers the adaptive fixed-time control problem for high-order nonlinear systems in the presence of unknown control coefficients and quantized input. Unlike the previous results, the bounds of the control coefficients and the knowledge of the quantizer parameters are not required to be known. By utilizing adding a power integrator method, an adaptive controller is designed where a tuning parameter is introduced to compensate the unknown system parameters. By using the fixed-time stability theorem, a novel switching rule is developed to regulate the controller parameter online such that the fixed-time stability is ensured for the closed-loop systems. Finally, a simulation example is provided to verify the effectiveness of the proposed control algorithm.