2C24 Optimal sampled-data control by vibration manipulation function for one mass-spring system obtained from three vibro-impact oscillators under Grover algorithm(The 12th International Conference on Motion and Vibration Control)

Abstract

Feedforward piecewise continuous function called vibration manipulation function is deduced from the dynamics of a three-vibro-impact oscillator, which is designed to realize Grover's wave algorithm. It indicates enforced displacement of a base to manipulate the position and velocity of the mass in one-degree-of-freedom (ODF) oscillator. Optimal trajectory of the mass is naturally determined from the dynamics of the multibody oscillator under Hamilton's principle. Modifying the function from the prediction of the position and velocity of the oscillator in every natural period, sampled-data control can be accomplished. Properties of the wave algorithm and some applications of the proposed sampled-data control method are discussed.