Page 563 - Mathematical Techniques of Fractional Order Systems

Parameters Identification of Fractional Order Chapter | 18 541

Start

Initialize the Grasshopper Population (n) and maximum number of
iteration (I), cmax, cmin

Calculate the fitness of each search agent

Define the best search agent (T)

No i<I

Display the best solutions Yes
C = cmax-i*( cmax-cmin)/I
End

J<n
Yes
No
Update the position of the search agent by Eq.19

J = j+1

Calculate the fitness of each search agent

Update T if there is a better solution

i = i+1

FIGURE 18.4 GOA algorithm flowchart.

1 to 0 over the course of iterations to improve the fluctuation of c as in
Eq. (18.20).

ðc f 2 c i Þ
c 5 c i 2 i: :ChaosðiÞ; ð18:20Þ
I
where c i ; c f are the initial and final values of the parameters c, they are
adjusted as 1 and 0.00001 respectively. i, I are the current iteration and the
-
maximum number of iterations respectively. Chaos is the chaotic map.