Identification of fractional-order systems via a switching differential evolution subject to noise perturbations |
| |
| Authors: | Wu Zhu Jian-an Fang Yang Tang Wenbing Zhang Yulong Xu |
| |
| Institution: | 1. College of Information Science and Technology, Donghua University, Shanghai 201620, China;2. Institute of Physics, Humboldt University, Berlin 12489, Germany;3. Potsdam Institute for Climate Impact Research, Potsdam 14415, Germany;4. Research Institute for Intelligent Control and System, Harbin Institute of Technology, Harbin 150006, China;5. Institute of Textiles and Clothing, The Hong Kong Polytechnic University, Hong Kong, China |
| |
| Abstract: | In this Letter, a differential evolution variant, called switching DE (SDE), has been employed to estimate the orders and parameters in incommensurate fractional-order chaotic systems. The proposed algorithm includes a switching population utilization strategy, where the population size is adjusted dynamically based on the solution-searching status. Thus, this adaptive control method realizes the identification of fractional-order Lorenz, Lü and Chen systems in both deterministic and stochastic environments, respectively. Numerical simulations are provided, where comparisons are made with five other State-of-the-Art evolutionary algorithms (EAs) to verify the effectiveness of the proposed method. |
| |
| Keywords: | Fractional-order chaotic systems Differential evolution Population dynamics System identification |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
