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Controlling chaos for energy harvesting via digital extended time-delay feedback

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Abstract

Chaotic vibrations may appear in nonlinear energy harvesting systems, which can be problematic when using the recovered power, as it may require an extra expenditure of energy to rectify the voltage signal or reduce the harvesting process efficiency when charging the battery. Both cases can derail the energy harvester’s functionality. An alternative in this situation is to explore chaos control to stabilize the system dynamics so that the recovered voltage signal is regular and more suitable for use in the applications of interest. This paper address this problem employing an extended delayed feedback method that combines a displacement actuator and a digital controller to implement the control mechanism. The control strategy is mathematically formulated and tested in a bistable energy harvesting system that often operates in a chaotic regime. The controller shows itself capable of stabilizing the chaotic dynamics at a very low energetic cost.

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Acknowledgements

This research received financial support from the Brazilian agencies Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001, and the Carlos Chagas Filho Research Foundation of Rio de Janeiro State (FAPERJ) under the following grants: 211.304/2015, 210.021/2018, 210.167/2019, 211.037/2019 and 201.294/2021.

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Authors and Affiliations

  1. Rio de Janeiro State University – UERJ, Rio de Janeiro, Brazil

    José Geraldo Telles Ribeiro, Marcelo Pereira, Americo Cunha Jr & Lisandro Lovisolo

  2. SENAI Innovation Institute for Virtual Production Systems (Firjan SENAI), Rio de Janeiro, Brazil

    Marcelo Pereira

Authors
  1. José Geraldo Telles Ribeiro
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  2. Marcelo Pereira
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  3. Americo Cunha Jr
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  4. Lisandro Lovisolo
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Correspondence to Americo Cunha Jr.

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Telles Ribeiro, J.G., Pereira, M., Cunha, A. et al. Controlling chaos for energy harvesting via digital extended time-delay feedback. Eur. Phys. J. Spec. Top. 231, 1485–1490 (2022). https://doi.org/10.1140/epjs/s11734-022-00503-y

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