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Adaptive fuzzy decentralized control for uncertain large-scale nonlinear time-delay systems with virtual control functions

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Abstract

In this paper, the adaptive fuzzy decentralized tracking control problem is investigated for a class of uncertain large-scale nonlinear systems, interacted through their outputs with completed unknown time-varying delays. The novel contribution is to remove the common assumptions on the unknown time delays by the proposed delay replacement technique, so that the controller design is not dependent on these assumptions any more, and thus, added flexibility in decentralized control design is achieved. Furthermore, the approximation and replacement errors are handled by the adaptive technique. All closed-loop signals are proved to be semiglobal uniform ultimate boundedness, and the tracking errors are guaranteed to converge to a small residual set around the origin. The simulation studies illustrate the effectiveness of the control scheme.

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Acknowledgments

This work was supported by the Program for Science & Technology Innovation Talents in Universities of Henan Province (15HASTIT021), the key scientific and technological research of Henan Science and Technology Division (112102210126, 142300410114), the Foundation of Henan Educational Committee (13A520017, 2011B120001).

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  1. School of Computer and Information Engineering, Anyang Normal University, Anyang, 455002, China

    T. Guo

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  1. T. Guo
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Guo, T. Adaptive fuzzy decentralized control for uncertain large-scale nonlinear time-delay systems with virtual control functions. Neural Comput & Applic 28, 1009–1020 (2017). https://doi.org/10.1007/s00521-015-2120-8

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