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DINAME 2023
XIX International Symposium on Dynamic Problems of Mechanics
Time-Delayed Feedback Control with Adaptive Gain for Impact Oscillator
Submission Author:
Dimitri Danulussi Alves Costa , SP
Co-Authors:
Dimitri Danulussi Alves Costa, Vahid Vaziri, Ekaterina Pavlovskaia, Marian Wiercigroch
Presenter: Dimitri Danulussi Alves Costa
doi://10.26678/ABCM.DINAME2023.DIN2023-0129
Abstract
Tuning nonlinear controllers parameters is one of the most challenging and crucial steps in their design, and time-delayed feedback controllers serve as a prominent example of such systems. One of the most promising recent advancements is the adaptive gain time-delayed feedback control that eliminates the need to set control gains and makes it robust to slow changes of the system parameters. However, the properties of this controller are not yet fully understood, especially with respect to the gains convergence. This work investigates the local properties of the adaptive time-delayed feedback control applied to an impact oscillator. the stability analysis based on the Floquet theory provides some insights into the convergence of the adaptive gains and how it can affect the stability of the targeted orbits.
Keywords
Impact oscillator, time-delayed systems, Nonlinear control
