On finite time resonance entrainment in multi-DOF systems

Denis Efimov (1) , Alexander Fradkov (2) , Tetsuya Iwasaki (3)

1 NON-A - Non-Asymptotic estimation for online systems
2 IPME - Institute of Mechanical Engineering Problems [St. Petersburg]
3 Department of Mechanical and Aerospace Engineering [Los Angeles]

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.

Domaines: Automatique

Denis Efimov, Alexander Fradkov, Tetsuya Iwasaki. On finite time resonance entrainment in multi-DOF systems. ACC 2012, Jun 2012, Montreal, Canada. ⟨hal-00678974⟩