Robust Fault-Tolerant Control for Satellite Attitude Stabilization Based on Active Disturbance Rejection Approach with Artificial Bee Colony Algorithm

Algorithm 1

The optimizing algorithm of bandwidth parameter by ABC.

Input 𝑁_𝑒,𝐷,𝑓_object

Initialize 𝑖=1,𝑗=1

While (𝑖<𝑁_𝑒) do

 While (𝑗<𝐷) do

  Generate new population (solution) 𝑥_𝑐𝑖𝑗 in the neighborhood of 𝑥_𝑏𝑖𝑗 for employed bees using (27) and evaluate them;

  Employ the greedy selection process for employed bees between 𝑥_𝑏𝑖 and 𝑥_𝑐𝑖;

  Calculate the probability 𝑃_𝑏𝑖 for 𝑥_𝑐𝑖 using (28);

  Produce new population 𝑥_𝑐𝑖𝑗 from 𝑥_𝑏𝑖𝑗 for onlooker bees based on and evaluate them;

  Employ the greedy selection process for onlooker bees between 𝑥_𝑏𝑖 and 𝑥_𝑐𝑖;

  Determine the abandoned 𝑥_𝑏𝑖, if exists, update it for scout bees by (26);

  Memorize the best solution achieved so far.

  𝑗=𝑗+1

𝑖=𝑖+1

 End while

End while

Output global optimum (best solution for bandwidth optimizing of ADRC)