Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1227-1234

Published online December 2, 2011

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

© The International Journal of Control, Automation, and Systems

Adaptive Fuzzy Control for Unknown Nonlinear Time-Delay Systems with Virtual Control Functions

Tao Guo and Guoying Liu

Anyang Normal University

Abstract

In this paper, adaptive fuzzy control is presented for a class of unknown nonlinear time-delay 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 arbi-trary small tracking error by appropriately choosing design constants.

Keywords Adaptive control, DSC, fuzzy control, nonlinear systems, time-delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2011; 9(6): 1227-1234

Published online December 1, 2011 https://doi.org/10.1007/s12555-011-0625-1

Copyright © The International Journal of Control, Automation, and Systems.

Adaptive Fuzzy Control for Unknown Nonlinear Time-Delay Systems with Virtual Control Functions

Tao Guo and Guoying Liu

Anyang Normal University

Abstract

In this paper, adaptive fuzzy control is presented for a class of unknown nonlinear time-delay 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 arbi-trary small tracking error by appropriately choosing design constants.

Keywords: Adaptive control, DSC, fuzzy control, nonlinear systems, time-delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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