Multiobjective Optimization of PID Controller of PMSM

Algorithm 1

NSGA-II algorithm.

Pop = InitPop(N)             % initialization

Fronts = Fast_Nondominated_Sort (Pop)       % fast nondominated sort

while gen ≤ ngens

 for i = 1: N

  p1, p2 = Parents_ select (Pop(i))

  TempPop(i).x = crossover(p1, p2)    % crossover operation

  TempPop(i).x = mutation(%mutation) % mutation operation

  NewPop(i) = TempPop(i) ∪ Pop(i)   % new population obtaining

  Fronts = Fast_Nondominated_Sort (NewPop(i))

 end for

 k = 0

 Pop = Null

 while sizeof (Pop) < N

   = Get_ Fronts(Fronts, k)   % Pareto fronts obtaining

  Pop = Pop ∪ Ind_ Pront(NewPop, )

  k = k + 1

 end while

 gen = gen + 1

end while