Parameter Identification of A Four-dimensional Chaotic System Using Real-valued Immune Algorithms

Abstract

This paper presents a new immune algorithm to solve the parameters identification problem of the four-dimensional chaotic system. The proposed algorithm is directly to utilize the real-value operation to fulfill the numerical optimization, which is quite different from the traditional immune algorithm with binary operations. For most cases of engineering applications, this kind of algorithm seems to be more applicable. In order to achieve the realvalue manipulation, the modified similarity definition and mutation mechanism have been developed in place of the originals. By the proposed method, the parameter identification of a special nonlinear system, four-dimensional chaotic system, is solved. Finally, simulation results will show the feasibility of the proposed algorithm in the parameter identification of nonlinear chaotic system.