
Proceedings Paper
A statistical linearization approach to optimal nonlinear energy harvestingFormat | Member Price | Non-Member Price |
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Paper Abstract
In this study, an extension of linear-quadratic-Gaussian (LQG) control theory is used to determine the optimal
state feedback controller for a nonlinear energy harvesting system that is driven by a stochastic disturbance.
Specifically, the energy harvester is a base-excited single-degree-of-freedom (SDOF) resonant oscillator with an
electromagnetic transducer embedded between the ground and moving mass. The electromagnetic transducer
used to harvest energy from the SDOF oscillator introduces a nonlinear Coulomb friction force into the system,
which must be accounted for in the design of the controller. As such, the development of the optimal controller for
this system is based on statistical linearization, whereby the Coulomb friction force is replaced by an equivalent
linear viscous damping term, which is calculated from the stationary covariance of the closed-loop system.
It is shown that the covariance matrix and optimal feedback gain matrix can be computed by implementing
an iterative algorithm involving linear matrix inequalities (LMIs). Simulation results are presented for the
SDOF energy harvester in which the performance of the optimal state feedback control law is compared to the
performance of the optimal static admittance over a range of disturbance bandwidths.
Paper Details
Date Published: 27 March 2012
PDF: 12 pages
Proc. SPIE 8341, Active and Passive Smart Structures and Integrated Systems 2012, 834105 (27 March 2012); doi: 10.1117/12.914975
Published in SPIE Proceedings Vol. 8341:
Active and Passive Smart Structures and Integrated Systems 2012
Henry A. Sodano, Editor(s)
PDF: 12 pages
Proc. SPIE 8341, Active and Passive Smart Structures and Integrated Systems 2012, 834105 (27 March 2012); doi: 10.1117/12.914975
Show Author Affiliations
Ian L. Cassidy, Duke Univ. (United States)
Jeffrey T. Scruggs, Univ. of Michigan (United States)
Published in SPIE Proceedings Vol. 8341:
Active and Passive Smart Structures and Integrated Systems 2012
Henry A. Sodano, Editor(s)
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