Fuzzy-Weighted Differential Evolution Computing Paradigm for Fractional Order Nonlinear Wiener Systems

2021 ◽  
Author(s):  
Ammara Mehmood ◽  
Muhammad Asif Zahoor Raja
Keyword(s):  
Differential Evolution ◽  
Fractional Order ◽  
Computing Paradigm ◽  
Wiener Systems

scholarly journals Identification time-delayed fractional order chaos with functional extrema model via differential evolution

2014 ◽  
Vol 41 (4) ◽  
pp. 1601-1608 ◽  
Author(s):  
Fei Gao ◽  
Xue-jing Lee ◽  
Feng-xia Fei ◽  
Heng-qing Tong ◽  
Yan-fang Deng ◽  
...  
Keyword(s):  
Differential Evolution ◽  
Fractional Order ◽  
Identification Time

Identification of fractional-order systems via a switching differential evolution subject to noise perturbations

2012 ◽  
Vol 376 (45) ◽  
pp. 3113-3120 ◽  
Author(s):  
Wu Zhu ◽  
Jian-an Fang ◽  
Yang Tang ◽  
Wenbing Zhang ◽  
Yulong Xu
Keyword(s):  
Differential Evolution ◽  
Fractional Order ◽  
Fractional Order Systems

scholarly journals Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-19 ◽  
Author(s):  
Fei Gao ◽  
Xue-Jing Lee ◽  
Heng-qing Tong ◽  
Feng-xia Fei ◽  
Hua-ling Zhao
Keyword(s):  
Differential Evolution ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Cuckoo Search ◽  
Unknown Parameters ◽  
Independent Variables ◽  
Novel Approach ◽  
Proper Translation ◽  
Fractional Orders ◽  
Identification Mechanism

In this paper, a non-Lyapunov novel approach is proposed to estimate the unknown parameters and orders together for noncommensurate and hyper fractional chaotic systems based on cuckoo search oriented statistically by the differential evolution (CSODE). Firstly, a novel Gaos’ mathematical model is proposed and analyzed in three submodels, not only for the unknown orders and parameters’ identification but also for systems’ reconstruction of fractional chaos systems with time delays or not. Then the problems of fractional-order chaos’ identification are converted into a multiple modal nonnegative functions’ minimization through a proper translation, which takes fractional-orders and parameters as its particular independent variables. And the objective is to find the best combinations of fractional-orders and systematic parameters of fractional order chaotic systems as special independent variables such that the objective function is minimized. Simulations are done to estimate a series of noncommensurate and hyper fractional chaotic systems with the new approaches based on CSODE, the cuckoo search, and Genetic Algorithm, respectively. The experiments’ results show that the proposed identification mechanism based on CSODE for fractional orders and parameters is a successful method for fractional-order chaotic systems, with the advantages of high precision and robustness.

Sign in / Sign up

Export Citation Format

Share Document