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Adaptive fuzzy control for unknown nonlinear time-delay systems with virtual control functions

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Abstract

In this paper, adaptive fuzzy control is presented for a class of unknown nonlinear timedelay systems with virtual control functions. By employing fuzzy logic systems and the technique of delay replacement, dynamic surface control (DSC) design approach can be carried out with both unknown delay signals and nonlinearities. This is different from the existing results, which are used to make limitations on the time-delays. It is proved that the proposed design method is able to guarantee semiglobal uniform ultimate boundedness (SGUUB) of all signals in the closed-loop system, with arbitrary small tracking error by appropriately choosing design constants.

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Authors and Affiliations

  1. Tao Guo and Guoying Liu are with the School of Computer and Information Engineering, Anyang Normal University, Anyang, 455002, P. R. China

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  1. Tao Guo
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  2. Guoying Liu
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Correspondence to Tao Guo.

Additional information

Recommended by Editorial Board member Poo Gyeon Park under the direction of Editor Young Il Lee.

This work was supported by the National Natural Science Foundation of China under Grant 41001251 in part and Foundation of He’nan Educational Committee under Grant 112102210126 and 2011B120001.

Tao Guo received his B.S. degree in the Department of Mathematics from Zhengzhou University, Zhengzhou, China, in 1998, and his Ph.D. degree in the School of Computer Science from Xidian University, Xi’an, China, in 2009. His research interests include fuzzy control, backstepping control, DSC control, adaptive control for uncertain nonlinear systems such as time-delay or stochastic nonlinear systems and so on.

Guoying Liu received his Ph.D. degree in Geoscience and Remote Sensing from LIESMARS of Wuhan University in 2009. He is currently with Anyang Normal University. His current research interests include machine learning theory and digital image analysis. Dr. Guoying Liu is a member of IEEE.

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Guo, T., Liu, G. Adaptive fuzzy control for unknown nonlinear time-delay systems with virtual control functions. Int. J. Control Autom. Syst. 9, 1227–1234 (2011). https://doi.org/10.1007/s12555-011-0625-1

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  • DOI: https://doi.org/10.1007/s12555-011-0625-1

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