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Volume 9 Issue 12
Dec.  2022

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2022  >  9(12): 2106-2120
Y. Liu, H. Y. Li, Z. Y. Zuo, X. D. Li, and R. Q. Lu, “An overview of finite/fixed-time control and its application in engineering systems,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 12, pp. 2106–2120, Dec. 2022. doi: 10.1109/JAS.2022.105413
Citation: Y. Liu, H. Y. Li, Z. Y. Zuo, X. D. Li, and R. Q. Lu, “An overview of finite/fixed-time control and its application in engineering systems,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 12, pp. 2106–2120, Dec. 2022. doi: 10.1109/JAS.2022.105413
shu

An Overview of Finite/Fixed-Time Control and Its Application in Engineering Systems

doi: 10.1109/JAS.2022.105413
  • 1.

    College of Automation and Electronics Engineering, Qingdao University of Science and Technology, Qingdao 266061, and also with the School of Automation, Guangdong University of Technology, Guangzhou 510006, China

  • 2.

    School of Automation, Guangdong University of Technology, and also with the Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangzhou 510006, China

  • 3.

    School of Automation Science and Electrical Engineering, Beihang University, Beijing 100083, China

  • 4.

    School of Mathematics and Statistics, and also with Center for Control and Engineering Computation, Shandong Normal University, Jinan 250014, China

Funds:  This work was partially supported by the National Natural Science Foundation of China (62003097, 62121004, 62033003, 62073019), the Local Innovative and Research Teams Project of Guangdong Special Support Program (2019BT02X353), the Key Area Research and Development Program of Guangdong Province (2021B0101410005), and the Joint Funds of Guangdong Basic and Applied Basic Research Foundation (2019A1515110505)
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    Abstract
  • The finite/fixed-time stabilization and tracking control is currently a hot field in various systems since the faster convergence can be obtained. By contrast to the asymptotic stability, the finite-time stability possesses the better control performance and disturbance rejection property. Different from the finite-time stability, the fixed-time stability has a faster convergence speed and the upper bound of the settling time can be estimated. Moreover, the convergent time does not rely on the initial information. This work aims at presenting an overview of the finite/fixed-time stabilization and tracking control and its applications in engineering systems. Firstly, several fundamental definitions on the finite/fixed-time stability are recalled. Then, the research results on the finite/fixed-time stabilization and tracking control are reviewed in detail and categorized via diverse input signal structures and engineering applications. Finally, some challenging problems needed to be solved are presented.

     

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