Abstract
This article studies the fixed-time output feedback tracking control based on the command filtered backstepping method for nonlinear systems. The approximation technique of neural network is used to estimate uncertain dynamics. The fixed-time filter is introduced to overcome the problem of complexity explosion, and combined with the compensation signal to reduce the filtering error. It is worth noting that the convergence time of fixed-time control is predetermined, and there is no need to know the information of the system initial value. The final results show that the tracking error reach to the expected neighborhood near the origin in fixed-time. Eventually, the effectiveness of the proposed fixed-time control strategy is demonstrated by a simulation case.
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This work was supported by the National Natural Science Foundation of China (61603204), the Natural Science Foundation of Shandong Province (ZR2021MF046), the Science and Technology Support Plan for Youth Innovation of Universities in Shandong Province (2019KJN033) and the Taishan Scholar Special Project Fund (TS20190930).
Shuchao Hou received his B.S. degree in automation from Shenyang Jianzhu University in 2020. He is currently working toward an M.S. degree with the School of Automation, Qingdao University. His research interests include nonlinear adaptive control and fixed-time control.
Lin Zhao received his B.S. degree in mathematics and applied mathematics from Qingdao University, Qingdao, China, in 2008, an M.S. degree in operational research and cybernetics from the Ocean University of China, Qingdao, in 2011, and a Ph.D. degree in applied mathematics from Beihang University, Beijing, China, in 2016. He is currently a Distinguished Professor at the School of Automation, Qingdao University. He is a recipient of the Shandong Province Fund for Outstanding Young Scholars. His current research interests include finite-time control, distributed control of multi-agent systems, and spacecraft control systems.
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Hou, S., Zhao, L. Adaptive Fixed-time Output Feedback Tracking Control for Uncertain Nonlinear Systems. Int. J. Control Autom. Syst. 21, 429–439 (2023). https://doi.org/10.1007/s12555-021-0999-7
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DOI: https://doi.org/10.1007/s12555-021-0999-7