Linear state feedback control for a new chaotic system | Zendy

Ruihong Li | Zendy; Xu Wei | Zendy; Li Shuang | Zendy

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Linear state feedback control for a new chaotic system

Author(s) -

Ruihong Li,

Xu Wei,

Li Shuang

Publication year - 2006

Publication title -

acta physica sinica

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.

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