Stabilization of chaotic behaviour and spiking current in thyristor with time-delayed feedback control

Abstract

A new method is proposed for the stabilization of spatio temporal chaos in a thyristor device. The valid control of unstable periodic orbits (UPOs) of the chaotic system is achieved by combining time-delayed feedback control (TDFC) with the use of phase space compression. Based on the stability theory of linear periodic system,the linear stability analysis of the controlled system is discussed by using the Floquets theorem,and the feedback gain of TDFC was optimized through the Floquet exponents. The results show that the spatio temporally unstable periodic orbits embedded in a chaotic attractor of the spatially extended system can be stabilized by using the proposed method,and the spiking current filaments can also be inhibited well.