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

Algorithm 2

Cuckoo search oriented statistically by differential evolution (CSODE).

(1)  Basic  parameters'  setting Objective function 𝑓(𝑥),𝑥=𝑥₁,…,𝑥_𝑑,

  initial population of 𝑛 host nests 𝑥_𝑖(𝑖=1,2,…,𝑛), boundaries for each

  dimension 𝑥_𝑖=𝑥_𝑖,1,…,𝑥_𝑖,𝑑 and so forth.

(2)  While Termination condition is not satisfied do

(3)    If 𝑝_De<0.2, generating candidate cuckoo population (𝑖,𝑖=1,2,…,𝑛)

     randomly from current population by (31).

(4)    Updating the current cuckoo swarm and the candidate swarm with (32).

(5)    Abandon a fraction 𝑝_𝑎 of worse nests.

(6)    Build new ones at new locations via Lévy flights (28).

(7)    Keep the best solutions (or nests with quality solutions).

(8)    Rank the solutions and find the current best.

(9)  end  while

(10) Output  Global optimum 𝑄_𝑔