Adaptive finite/fixed-time stabilizing control for nonlinear systems with parametric uncertainty

被引:7
|
作者
Yu, Jiangbo [1 ]
Stancu, Alexandru [2 ]
Ding, Zhengtao [2 ]
Wu, Yuqiang [3 ]
机构
[1] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China
[2] Univ Manchester, Dept Elect & Elect Engn, Manchester M13 9PL, England
[3] Qufu Normal Univ, Inst Automat, Qufu, Peoples R China
基金
中国国家自然科学基金;
关键词
adaptive control; finite-time control; fixed-time control; nonlinear systems; parametric uncertainty; FEEDBACK; DESIGN; OBSERVER; TRACKING; ODD;
D O I
10.1002/rnc.6441
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article investigates the adaptive finite/fixed-time stabilizing control problem for a class of uncertain nonlinear systems. Remarkably, the studied system allows the nonlinear parametric uncertainties. Compared with the existing results on adaptive finite/fixed-time stabilizing control, the proposed state feedback stabilizing process consists of the first phase of steering the system states into a region of the fixed-time stability in finite-time and the second phase of further driving the states to the origin in fixed-time, while the other signals in closed-loop system are kept bounded. The adaptive finite/fixed-time stabilizing control scheme is developed using a recursive design method, which is inspired by the adding-a-power-integrator technique. The proof is based on the nonsmooth finite/fixed-time Lyapunov stability theorem developed recently for nonlinear control systems. The angular set-point stabilizing control of a pendulum system is used to demonstrate the effectiveness of the presented algorithm.
引用
收藏
页码:1513 / 1530
页数:18
相关论文
共 50 条
  • [1] Adaptive finite-time control of nonlinear systems with parametric uncertainty
    Hong, YG
    Wang, JK
    Cheng, DZ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (05) : 858 - 862
  • [2] Fixed-Time Adaptive Fuzzy Control for Uncertain Nonlinear Systems
    Lu, Kaixin
    Liu, Zhi
    Wang, Yaonan
    Chen, C. L. Philip
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (12) : 3769 - 3781
  • [3] Adaptive Neural Fixed-Time Control for Uncertain Nonlinear Systems
    Liu S.
    Wang H.
    Li T.
    Xu K.
    IEEE Transactions on Circuits and Systems II: Express Briefs, 2024, 71 (02) : 637 - 641
  • [4] Adaptive Fuzzy Practical Fixed-Time Tracking Control of Nonlinear Systems
    Chen, Ming
    Wang, Huanqing
    Liu, Xiaoping
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (03) : 664 - 673
  • [5] Adaptive Fixed-Time Neural Control for Uncertain Nonlinear Multiagent Systems
    Huang, Chengjie
    Liu, Zhi
    Chen, C. L. Philip
    Zhang, Yun
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, 34 (12) : 10346 - 10358
  • [6] Adaptive fixed-time fuzzy control for nonlinear systems with actuator faults
    Bai, Wen
    Liu, Peter Xiaoping
    Wang, Huanqing
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2022, 36 (04) : 762 - 784
  • [7] Adaptive fixed-time tracking control of nonlinear systems with unmodeled dynamics
    Wang, Huanqing
    Ai, Ze
    NONLINEAR DYNAMICS, 2024, 112 (23) : 21193 - 21204
  • [8] Adaptive Fixed-Time Fuzzy Control of Uncertain Nonlinear Quantized Systems
    Ren, Pengxu
    Wang, Fang
    Zhu, Ruitai
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2021, 23 (03) : 794 - 803
  • [9] Adaptive Fixed-Time Fuzzy Control of Uncertain Nonlinear Quantized Systems
    Pengxu Ren
    Fang Wang
    Ruitai Zhu
    International Journal of Fuzzy Systems, 2021, 23 : 794 - 803
  • [10] Adaptive Fixed-Time Control for Switched Nonlinear Systems With Actuator Faults
    Liu, Shuo
    Zhang, Huaguang
    Pang, Hongbo
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2025,