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

Algorithm 3

A novel unknown parameters and orders identification method based on differential evolution algorithms for noncommensurate and hyperfractional-order chaos systems.

(1)  Basic  parameters'  setting  for  Algorithm 2.

(2)  Initialize  Generate the initial population.

(3)  While  Termination condition is not satisfied  do

(4)    Algorithm 2 with fitness with (24).

(5)    Boundary  constraints  For each 𝑥_𝑖𝑘∈𝑋_𝑖,𝑘=1,2,…,𝐷, if 𝑥_𝑖1 is

  beyond the boundary, it is replaced by a random number in the boundary.

(6)  end  while

(7)  Output  Global optimum 𝑥_Best