Chaos Control in the Fractional-Order Lorenz System with Random Parameter

Author:

Qiao Wei1

Affiliation:

1. Ningxia Coalfield Geology Bureau

Abstract

In this paper, we study the chaos control in the fractional-order Lorenz system with random parameter. Firstly, according to orthogonal polynomial approximation principle of the Functional analysis, the fractional-order Lorenz system with random parameter is reduced to its equivalent deterministic one. Secondly, chaos control equivalent deterministic system research using the linear feedback method. Finally, though numerical results show the effective and feasible of this method.

Publisher

Trans Tech Publications, Ltd.

Reference17 articles.

1. Cu L, Ou QL, etc. Fractional of hyperchaotic Lorenz system and circuit simulation. Electronic measurement technology. 2010, 33(5): 3-16. (in Chinese).

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3. Yan Y, Zhang LG . Fractional control algorithm of Lorenz system . Journal of Dynamics and control. 2006, 4(2): 132-135.

4. Yang QG, Zeng CB. Chaos in fractional conjugate Lorenz system and its scaling attractors. Commun Nonlinear Sci Numer Simulat. 2010, 15: 4041–4051.

5. Qiao ZM, Jin YR. A control approach of fractional ordered Lorenz dynamical system. Journal of Anhui University ( Natural Science Edition). 2010, 34(6): 23-27. (in Chinese).

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