Control Between Coexistent Attractors For Optimal Performance Of A Bistable Piezoelectric Vibration Energy Harvester

Keywords

Basins of attraction; Coexistent attractors; Deterministic chaos; Intermittent control; Periodic orbits; Piezoelectric energy harvesting

Abstract

Research in broadband nonlinear piezoelectric energy harvesting has gained traction in recent years as resonant, linear harvesters do not operate optimally in dynamic environments. By placing a linear harvester in a symmetric magnetic field, a nonlinear restoring force allows the system to realize motion across two potential wells. Different levels of excitation enable the system to oscillate solely in one potential well, periodically across both potential wells, or aperiodically across both potential wells. Periodic interwell motion is considered desirable for nonlinear energy harvesting systems, however, coexistent attractors inhibit uniqueness of such a solution. The authors have previously shown that chaotic, aperiodic motion between potential wells can be optimized for improved energy harvesting. The technique applied a chaotic controller to stabilize a large amplitude periodic orbit within the chaotic attractor. This work considers the basins of attraction of the two concurrent attractors and applies an intermittent control law in which the system is perturbed from a chaotic, aperiodic interwell response into the desirable large amplitude, periodic, interwell response.

Publication Date

1-1-2016

Publication Title

Proceedings of SPIE - The International Society for Optical Engineering

Volume

9799

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1117/12.2222125

Socpus ID

84981356860 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84981356860

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