D.J. Braun, Optimal parametric feedback excitation of nonlinear oscillators, Physical Review Letters, 116, 044102, 2016.
This paper introduces an optimal parametric feedback excitation principle that creates an adaptive resonance condition for nonlinear oscillators. The approach enables robust movement generation without requiring model information, signal processing, or complex control computation. Its effectiveness is experimentally demonstrated using a nonlinear electronic circuit, showing performance far beyond what is possible with classical parametric modulation.
Why it matters: Many real-world oscillatory systems suffer from model uncertainties and nonlinear effects that limit classical control methods. This work establishes a new foundation for robust self-adaptive excitation, with potential applications in movement generation, signal amplification, and energy-efficient dynamical systems.