Abstract
We discuss the problem of controlling oscillations in weakly nonlinear systems by delayed feedback. In classical control theory, the objective of the control action is typically to drive the system to a stable equilibrium. Here we also study the possibility of driving the system to a stable limit cycle having a prescribed amplitude and frequency, as well as suppressing unwanted oscillations, using partial state information in the feedback. The presence of the delay in the output feedback turns out to play a crucial role in achieving these goals.
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Atay, F.M. (2016). Controlling Oscillations in Nonlinear Systems with Delayed Output Feedback. In: Schöll, E., Klapp, S., Hövel, P. (eds) Control of Self-Organizing Nonlinear Systems. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-28028-8_4
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DOI: https://doi.org/10.1007/978-3-319-28028-8_4
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