Journal
IEEE-CAA JOURNAL OF AUTOMATICA SINICA
Volume -, Issue -, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JAS.2022.105413
Keywords
Adding a power integrator; finite/fixed-time control and application; homogeneous theory; sliding mode control
Categories
Funding
- National Natural Science Foundation of China [62003097, 62121004, 62033003, 62073019]
- Local Innovative and Research Teams Project of Guangdong Special Support Program [2019BT02X353]
- Key Area Research and Development Program of Guangdong Province [2021B0101410005]
- Joint Funds of Guangdong Basic and Applied Basic Research Foundation [2019A1515 110505]
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Finite/time stabilization and tracking control is a popular field with better control performance and disturbance rejection. This paper provides an overview of the basic definitions, reviews research results, and presents some challenging problems that need to be addressed.
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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