Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
On finite time resonance entrainment in multi-DOF systems. / Efimov, Denis; Fradkov, Alexander; Iwasaki, Tetsuya.
2012 AMERICAN CONTROL CONFERENCE (ACC). Institute of Electrical and Electronics Engineers Inc., 2012. p. 1035-1039 (Proceedings of the American Control Conference).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
}
TY - GEN
T1 - On finite time resonance entrainment in multi-DOF systems
AU - Efimov, Denis
AU - Fradkov, Alexander
AU - Iwasaki, Tetsuya
PY - 2012
Y1 - 2012
N2 - The mechanism of entrainment to natural oscillations in a class of (bio) mechanical systems described by linear models is investigated. A nonlinear control strategy (based on the speed gradient control algorithm) is analyzed providing the system oscillation in resonance mode with a natural frequency. It ensures an energy-optimal entrainment performance robustly against perturbations in system parameters in a finite time. The obtained controller equations can be interpreted as equations of a dynamical neural network. Assuming that the resetting mechanism in animals is selected to ensure a suboptimal entrainment performance, the neural network interpretation may be helpful for understanding the entrainment phenomenon in nature. Efficiency of the proposed entrainment solutions is demonstrated by examples of computer simulation.
AB - The mechanism of entrainment to natural oscillations in a class of (bio) mechanical systems described by linear models is investigated. A nonlinear control strategy (based on the speed gradient control algorithm) is analyzed providing the system oscillation in resonance mode with a natural frequency. It ensures an energy-optimal entrainment performance robustly against perturbations in system parameters in a finite time. The obtained controller equations can be interpreted as equations of a dynamical neural network. Assuming that the resetting mechanism in animals is selected to ensure a suboptimal entrainment performance, the neural network interpretation may be helpful for understanding the entrainment phenomenon in nature. Efficiency of the proposed entrainment solutions is demonstrated by examples of computer simulation.
KW - entrainment
KW - nonlinear control
KW - oscillations
M3 - статья в сборнике материалов конференции
SN - 978-1-4577-1095-7
T3 - Proceedings of the American Control Conference
SP - 1035
EP - 1039
BT - 2012 AMERICAN CONTROL CONFERENCE (ACC)
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 27 June 2012 through 29 June 2012
ER -
ID: 76606054