Fixed-time tracking control for strict-feedback nonlinear systems based on backstepping algorithm

被引：0
|
作者：
Chen M. [1 ]
An S.-Y. [1 ]
机构：
[1] School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan
来源：
Chen, Ming (cm8061@sina.com) | 1600年 / Northeast University卷 / 36期
关键词：
Backstepping control; Finite-time stability; Fixed-time control; Strict-feedback nonlinear systems; Tracking control; Virtual control laws;
D O I：
10.13195/j.kzyjc.2019.0658
中图分类号：
学科分类号：
摘要：
The problem of fixed-time tracking control is investigated for a class of strict-feedback nonlinear systems. Based on the backstepping control strategy and Lyapunov stability theory, the sufficient conditions and design steps for globally fixed-time stable of the system are given. The proposed backstepping control scheme eliminates the singularity problem that may occur in the controller design, and ensures that the tracking error converges to a small neighborhood of the origin within fixed-time interval, meanwhile, the convergence time is independent of the initial states of the system. Finally, the effectiveness of the proposed scheme is verified by a numerical simulation example. Copyright ©2021 Control and Decision.
引用
收藏
页码：173 / 179
页数：6
相关论文
共 20 条
  • [1] Hua C C, Li Y F, Guan X P., Finite/fixed-time stabilization for nonlinear interconnected systems with dead-zone input, IEEE Transactions on Automatic Control, 62, 5, pp. 2554-2560, (2017)
  • [2] Du H B, Li S H, Qian C J., Finite-time attitude tracking control of spacecraft with application to attitude synchronization, IEEE Transactions on Automatic Control, 56, 11, pp. 2711-2717, (2011)
  • [3] Wu S N, Radice G, Gao Y S, Et al., Quaternion-based finite time control for spacecraft attitude tracking, Acta Astronautica, 69, 1, pp. 48-58, (2011)
  • [4] Song S M, Guo Y, Li X H., Finite-time attitude tracking control for spacecraft with input saturation, Control and Decision, 30, 11, pp. 2004-2008, (2015)
  • [5] Wang C X, Wu Y Q., Finite-time tracking control for strict-feedback nonlinear systems with full state constraints, International Journal of Control, 92, 6, pp. 1426-1433, (2017)
  • [6] Polyakov A., Nonlinear feedback design for fixed-time stabilization of linear control systems, IEEE Transactions on Automatic Control, 57, 8, pp. 2106-2110, (2012)
  • [7] Zou A M, Fan Z., Fixed-time attitude tracking control for rigid spacecraft without angular velocity measurements, IEEE Transactions on Industrial Electronics, 67, 8, pp. 6795-6805, (2019)
  • [8] Polyakov A, Efimov D, Perruquetti W., Finite-time and fixed-time stabilization: Implicit Lyapunov function approach, Automatica, 51, pp. 332-340, (2015)
  • [9] Muralidharan A, Pedarsani R, Varaiya P., Analysis of fixed-time control, Transportation Research Part B: Methodological, 73, pp. 81-90, (2015)
  • [10] Yang H J, Ye D., Fixed-time stabilization of uncertain strict-feedback nonlinear systems via a bi-limit-like strategy, International Journal of Robust and Nonlinear Control, 28, 17, pp. 5531-5544, (2018)
12