Optimal Control of Vibration-Based Micro-energy Harvesters

Thuy T. T. Le (), Felix Jost () and Sebastian Sager ()
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Thuy T. T. Le: Otto-von-Guericke University
Felix Jost: Otto-von-Guericke University
Sebastian Sager: Otto-von-Guericke University

Journal of Optimization Theory and Applications, 2018, vol. 179, issue 3, No 15, 1025-1042

Abstract: Abstract We analyze the maximal output power that can be obtained from a vibration energy harvester. While recent work focused on the use of mechanical nonlinearities and on determining the optimal resistive load at steady-state operation of the transducers to increase extractable power, we propose an optimal control approach. We consider the open-circuit stiffness and the electrical time constant as control functions of linear two-port harvesters. We provide an analysis of optimal controls by means of Pontryagin’s maximum principle. By making use of geometric methods from optimal control theory, we are able to prove the bang–bang property of optimal controls. Numerical results illustrate our theoretical analysis and show potential for more than 200% improvement of harvested power compared to that of fixed controls.

Keywords: Optimal control; Pontryagin’s maximum principle; Switching function; Energy harvesting; Power optimization; 49K15; 49J30; 93B40 (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1250-4

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