Open AccessStabilization of chaotic behaviour and spiking current in thyristor with time-delayed feedback control
Author(s) -
Tan Ping-An,
Bo Zhang,
Dongyuan Qiu
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.5299
Subject(s) - floquet theory , attractor , control theory (sociology) , chaotic , stability (learning theory) , periodic orbits , phase space , thyristor , feedback control , physics , computer science , mathematics , control (management) , mathematical analysis , nonlinear system , classical mechanics , quantum mechanics , power (physics) , artificial intelligence , machine learning , control engineering , engineering
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 Floquets 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.