Impulsive control method based on improved differential evolution algorithm

In this paper, a new strategy based on impulsive control model of high speed roller is proposed. To make the roller hit the specified target, the strategy is summarized as an optimal control model calculating required number of impulses, the igniting time and phase of each impulse, and also an improved Differential Evolution (DE) Algorithm is adopted to resolve. It is too difficult to solve the orderliness of igniting time by Basic DE, so a Mapping Differential Evolution Algorithm (MDE) is proposed, which maps the sorting time variables to random coefficient range [0,1]. In addition, a DE with self-adapting parameter is used to accelerate the convergence rate. Simulation results show the high accuracy of high speed roller with the method.