Title :
On finite time resonance entrainment in multi-DOF systems
Author :
Efimov, D. ; Fradkov, Alexander ; Iwasaki, Takuya
Author_Institution :
Non-A project at INRIA - LNE, Villeneuve-d´Ascq, France
Abstract :
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.
Keywords :
biomechanics; gradient methods; neurocontrollers; nonlinear control systems; oscillations; perturbation techniques; biomechanical systems; computer simulation; controller equations; dynamical neural network; energy-optimal entrainment performance; entrainment mechanism; entrainment phenomenon; finite time resonance entrainment; linear models; multiDOF systems; natural oscillations; neural network interpretation; nonlinear control strategy; perturbations; resonance mode; speed gradient control algorithm; system oscillation; system parameters; Equations; Frequency control; Mathematical model; Neural networks; Neurons; Oscillators; Resonant frequency; entrainment; nonlinear control; oscillations;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315039
