OPTIMAL VIBRATION CONTROL OF KERR OSCILLATORS

Abstract

In this paper, the single shooting method is used for computation and control a system of coupled Kerr oscillators. The behavior of coupled Kerr oscillators is sensitive to the initial conditions, so that minor differences in initial conditions can drive the system to chaos. A controlled Kerr oscillator can change its behavior by eliminating the trend to chaos. The optimal control method incorporates both the local B-splines and a sine series parametrization.