Open AccessLinear state feedback control for a new chaotic system
Author(s) -
Ruihong Li,
Xu Wei,
Shuang Li
Publication year - 2006
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.55.598
Subject(s) - chaotic , control theory (sociology) , stability (learning theory) , feedback control , equilibrium point , chaotic systems , computer science , class (philosophy) , state (computer science) , noise (video) , fixed point , control (management) , linear system , mathematics , mathematical analysis , differential equation , control engineering , algorithm , machine learning , artificial intelligence , engineering , image (mathematics)
The problem of controlling a class of new chaotic system is investigated. Applying Routh-Hurwitz criterion, we analyze the stability of the controlled system. The choice principle of feedback coefficients to attain control objective is proved strictly by combining the linear state feedback method. Numerical simulation results show that the method can effectively guide the chaotic trajectories to an unstable equilibrium point or periodic solution. In addition, we find the control is stable in the presence of weak external noise.