### Adaptive Control for a Class of Nonlinear Time-Delay System Based on the Fully Actuated System Approaches

NING Pengju, HUA Changchun, MENG Rui

1. School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
• Received:2022-01-08 Revised:2022-01-26 Published:2022-04-13
• Contact: HUA Changchun. Email: cch@ysu.edu.cn
• Supported by:
This research was supported by the Science Center Program of the National Natural Science Foundation of China under Grant No. 62188101, and in part by the National Key R&D Program of China under Grant No. 2018YFB1308300 and the National Natural Science Foundation of China under Grant Nos. U20A20187, 61825304.

NING Pengju, HUA Changchun, MENG Rui. Adaptive Control for a Class of Nonlinear Time-Delay System Based on the Fully Actuated System Approaches[J]. Journal of Systems Science and Complexity, 2022, 35(2): 522-534.

This paper focuses on the problem of adaptive control for a class of time-delay systems. First, the strict feedback nonlinear time-delay system is transformed into a fully actuated system by utilizing the fully actuated system theory. Then, the uncertain time-delay terms of the system are bounded by the product of the absolute value of the system state and the non-linear function with the unknown parameters. By following the high order fully actuated system approaches, a continuous adaptive controller is designed for the system. It is proved that the controller can render the system achieve asymptotically stability. Finally, two numerical examples are provided to illustrate the effectiveness of the theoretical results.
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