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Adaptive neural network dynamic surface control for a class of nonlinear systems with uncertain time delays

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Abstract

This paper presents a solution to tracking control problem for a class of nonlinear systems with unknown parameters and uncertain time-varying delays. A new adaptive neural network (NN) dynamic surface controller (DSC) is developed. Some assumptions on uncertain time delays, which were required to be satisfied in previous works, are removed by introducing a novel indirect neural network algorithm into dynamic surface control framework. Also, the designed controller is independent of the time delays. Moreover, the dynamic compensation terms are introduced to facilitate the controller design. It is shown that the closed-loop tracking error converges to a small neighborhood of zero. Finally, a chaotic circuit system is initially bench tested to show the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. School of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang, 050018, China

    Xiao-Jing Wu & Xue-Li Wu

  2. School of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Xiao-Yuan Luo

Authors
  1. Xiao-Jing Wu
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  2. Xue-Li Wu
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  3. Xiao-Yuan Luo
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Corresponding author

Correspondence to Xiao-Jing Wu.

Additional information

This work was supported by Natural Science Foundation of Hebei Province (No. F2014208119) and Doctoral Foundation of Hebei University of Science and Technology (No. 010075).

Recommended by Associate Editor Ding-Li Yu

Xiao-Jing Wu received the M. Sc. and Ph.D. degrees from Yanshan University, China in 2009 and 2012, respectively. Now, she is a lecturer in Hebei University of Science and Technology, China.

Her research interests include adaptive control of nonlinear system and faulttolerant control.

ORCID iD: 0000-0003-2784-2278

Xue-Li Wu received the B. Sc. and M. Sc. degrees from Yanshan University, China in 1983 and 1988, respectively. He received the Ph.D. degree from Huazhong University of Science and Technology, China in 2005. He is currently a professor in Hebei University of Science and Technology

His research interests include nonlinear control systems and intelligent control.

Xiao-Yuan Luo received the M. Sc. and Ph.D. degrees from Department of Electrical Engineering, Yanshan University, China, in 2001 and 2005, respectively. He is currently a professor in Yanshan University, China.

His research interests include fault detection and fault tolerant control, multi-agent, and networked control systems.

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Wu, XJ., Wu, XL. & Luo, XY. Adaptive neural network dynamic surface control for a class of nonlinear systems with uncertain time delays. Int. J. Autom. Comput. 13, 409–416 (2016). https://doi.org/10.1007/s11633-015-0945-3

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  • DOI: https://doi.org/10.1007/s11633-015-0945-3

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