WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 8, 2013
Dynamic Stability of Time-Delayed Feedback Control System by FFT based IHB Method
Authors: , ,
Abstract: The forced Duffing oscillator is investigated by intentional time-delayed displacement feedback by fast Fourier transform based incremental harmonic balance method along with continuation technique (FFT-IHBC). FFT-IHBC can efficiently develop frequency response curves with all stable and unstable solutions and solution branches. Appreciable reduction in peak value of response and gradual reduction in the skew-ness in frequency response curve is observed with the introduction of gain and delay. Further, frequency response curves with all stable solutions can be achieved with appropriate choice of gain and delay in the primary and secondary stability zones of linear stability analysis. The results obtained by this method are compared with numerical integration method and they match perfectly.
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Keywords: Fast Fourier transform, incremental harmonic balance method, are length continuation, intentional time-delayed feedback, Floquet stability