Application of Improved Differential Evolution Approach on Parameter Identification of Chen and Lü Chaotic Systems

In this paper, a Taguchi-sliding-level differential evolution algorithm (TSLDEA) is proposed to use for finding the actual parameters of Chen and Lu chaotic systems. The TSLDEA, a powerful global numerical optimization method, combines the differential evolution algorithm (DEA) with the Taguchi-sliding-level (TSL) method. The TSL method is fused in the crossover operation of a DEA. Then, the systematic reasoning ability of the TSL method is incorporated in the crossover operation of a DEA to select the better offspring to achieve the crossover, and consequently enhance the DEA. Therefore, the TSLDEA can be more robust, statistically sound, and quickly convergent. Two illustrative examples of parameter identification of Chen and Lu chaotic systems are given to demonstrate the applicability of the proposed TSLDEA.