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Adaptive output-feedback regulation for nonlinear delayed systems using neural network

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Abstract

A novel adaptive neural network (NN) output-feedback regulation algorithm for a class of nonlinear time-varying time-delay systems is proposed. Both the designed observer and controller are independent of time delay. Different from the existing results, where the upper bounding functions of time-delay terms are assumed to be known, we only use an NN to compensate for all unknown upper bounding functions without that assumption. The proposed design method is proved to be able to guarantee semi-global uniform ultimate boundedness of all the signals in the closed system, and the system output is proved to converge to a small neighborhood of the origin. The simulation results verify the effectiveness of the control scheme.

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Authors and Affiliations

  1. Department of Applied Mathematics, Xidian University, Xi’an, 710071, PRC

    Wei-Sheng Chen & Jun-Min Li

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  1. Wei-Sheng Chen
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  2. Jun-Min Li
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Corresponding author

Correspondence to Wei-Sheng Chen.

Additional information

This work was supported by National Natural Science Foundation of China (NSFC) (No. 60374015).

Wei-Sheng Chen received the B. Sc. degree in the Department of Mathematics at Qufu Normal University, Qufu, China, in 2000, and the M. Sc. degree in the Department of Applied Mathematics at Xidian University, Xi’an, China, in 2004. He is currently a Ph. D. candidate in the Department of Applied Mathematics at Xidian University, China.

His research interests include robust and adaptive control, neural network control, nonlinear control, and time-delay control systems.

Jun-Min Li received the B. Sc. andM. Sc. degrees from the Department of Applied Mathematics at Xidian University, China, in 1987 and 1989, respectively, and Ph.D. degree in systems engineering from Xi’an Jiaotong University, Xi’an, China, in 1997. He is currently a professor in the Department of Applied Mathematics at Xidian University, China.

His research interests include robust and adaptive control, optimal control, iterative learning control, and networked control systems.

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Chen, WS., Li, JM. Adaptive output-feedback regulation for nonlinear delayed systems using neural network. Int. J. Autom. Comput. 5, 103–108 (2008). https://doi.org/10.1007/s11633-008-0103-2

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  • DOI: https://doi.org/10.1007/s11633-008-0103-2

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