This paper illustrates the control of chaos using a fuzzy estimating system based on batch training and recursive least square methods for a continuous time dynamic system. The fuzzy estimator system is trained on both Ott-Geobogi-Yorke (OGY) control algorithm and Pyragas’s delayed feedback control algorithm. The system, considered for this study, is a Bonhoeffer-van der Pol (BVP) oscillator. It is found that the implemented fuzzy control system constructed on OGY algorithm results in smaller control transient response than that of the OGY control algorithm itself. The transient response of Pyragas fuzzy control does not show a significant improvement in compare to the Pyragas control itself. In general the proposed control techniques show very effective low cost energy behavior in chaos control in compare to conventional nonlinear control methods.
Chaos Control in Bonhoeffer-van der Pol System Using Fuzzy Estimation
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Alasty, A, & Salarieh, H. "Chaos Control in Bonhoeffer-van der Pol System Using Fuzzy Estimation." Proceedings of the ASME 7th Biennial Conference on Engineering Systems Design and Analysis. Volume 1. Manchester, England. July 19–22, 2004. pp. 885-893. ASME. https://doi.org/10.1115/ESDA2004-58532
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