A statistical linearization approach to optimal nonlinear energy harvesting

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 8341, Issue , 2012, Pages

  Cassidy, Ian L ^a   Scruggs, Jeffrey T ^b  

^a Duke University   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Energy harvesting; Optimal control; Statistical linearization; Vibration

Indexed keywords

COULOMB FRICTION FORCE; ELECTROMAGNETIC TRANSDUCER; ENERGY HARVESTER; ENERGY HARVESTING SYSTEMS; EQUIVALENT-LINEAR; ITERATIVE ALGORITHM; LINEAR MATRIX INEQUALITY (LMIS); LINEAR QUADRATIC GAUSSIAN; MOVING MASS; OPTIMAL CONTROLLER; OPTIMAL CONTROLS; OPTIMAL FEEDBACK GAINS; OPTIMAL STATE FEEDBACK; OPTIMAL STATE FEEDBACK CONTROL; RESONANT OSCILLATORS; SINGLE-DEGREE-OF-FREEDOM; STATIONARY COVARIANCE; STATISTICAL LINEARIZATION; STOCHASTIC DISTURBANCES; VIBRATION;

ALGORITHMS; CONTROL THEORY; COVARIANCE MATRIX; ENERGY HARVESTING; INTEGRATED CONTROL; LINEAR MATRIX INEQUALITIES; STATE FEEDBACK; TRANSDUCERS;

OPTIMIZATION;

EID: 84861494418     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.914975     Document Type: Conference Paper

References (22)

1. Roundy, S., Wright, P. K., and Rabaey, J., "A study of low level vibrations as a power source for wireless sensor nodes," Journal of Computer Communications 26, 1131-1144 (2002).
2. Zuo, L., Scully, B., Shestani, J., and Zhou, Y., "Design and characterization of an electromagnetic energy harvester for vehicle suspensions," Smart Materials and Structures 19 (2010). #045003.
3. Nagode, C., Ahmadian, M., and Taheri, S., "Effective energy harvesting devices for railroad applications," Proc. SPIE 7643 (2010).
4. Scruggs, J. T. and Jacob, P., "Harvesting ocean wave energy," Science 323, 1176-1178 (2009).
5. Ni, T., Zuo, L., and Kareem, A., "Assessment of energy potential and vibration mitigation of regenerative tuned mass dampers on wind excited tall buildings," Proc. ASME IDETC (2011).
6. Lefeuvre, E., Audigier, D., Richard, C., and Guyomar, D., "Buck-boost converter for sensorless power optimization of piezoelectric energy harvester," IEEE Transactions on Power Electronics 22, 2018-2025 (2007).
7. Liu, Y., Tian, G., Wang, Y., Lin, J., Zhang, Q., and Hofmann, H. F., "Active piezoelectric energy harvesting: general principle and experimental demonstration," Journal of Intelligent Material Systems and Structures 20, 575-585 (2009).
8. Stephen, N. G., "On energy harvesting from ambient vibration," Journal of Sound and Vibration 293, 409-425 (2006).
9. Scruggs, J. T., "On the causal power generation limit for a vibratory energy harvester in broadband stochastic response," Journal of Intelligent Material Systems and Structures 21, 1249-1262 (2010).
10. Stanton, S. C., Erturk, A., Mann, B. P., and Inman, D. J., "Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification," Journal of Applied Physics 108 (2010). #074903.
11. Cassidy, I. L., Scruggs, J. T., Behrens, S., and Gavin, H. P., "Design and experimental characterization of an electromagnetic transducer for large-scale vibratory energy harvesting applications," Journal of Intelligent Material Systems and Structures 22, 2009-2024 (2011).
12. Ali, S. F., Adhikari, S., Friswell, M. I., and Narayanan, S., "The analysis of piezomagnetoelastic energy harvesters under broadband random excitations," Journal of Applied Physics 109 (2011). #074904.
13. Wonham, W. M. and Cashman, W. F., "A computational approach to optimal control of stochastic saturating systems," International Journal of Control 10, 77-98 (1969).
14. Gök,cek, C., Kabamba, P. T., and Meerkov, S. M., "An lqr/lqg theory for systems with saturating actuators," IEEE Transactions on Automatic Control 46, 1529-1542 (2001).
15. Narayanan, S. and Senthil, S., "Stochastic optimal active control of a 2-dof quarter car model with non-linear passive suspension elements," Journal of Sound and Vibration 211, 495-506 (1998).
16. Ying, Z. G., Ni, Y. Q., and Ko, J. M., "Semi-active optimal control of linearized systems with multi-degree of freedom and application," Journal of Sound and Vibration 279, 373-388 (2005).
17. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V., [Linear Matrix Inequalities in System and Control Theory], SIAM, Philadelphia, PA (1994).
18. Kollmorgen, "Kollmorgen linear positioners catalog," (2010). Available at: http://www.kollmorgen.com.
19. Luenberger, D. G., "An introduction to observers," IEEE Transactions on Automatic Control 16, 596-602 (1971).
20. Cassidy, I. L., Scruggs, J. T., and Behrens, S., "Optimization of partial-state feedback for vibratory energy harvesters subjected to broadband stochastic disturbances," Smart Materials and Structures 20 (2011). #085019.
21. Roberts, J. B. and Spanos, P. D., [Random Vibration and Statistical Linearization], Dover, Mineola, NY (2003).
22. Lewis, F. L. and Syrmos, V. L., [Optimal Control ], Wiley-Interscience, New York, NY (1995).