Optimal Operation of High-Speed Trains Using Hybrid Model Predictive Control

Algorithm 1

Solution of MILP problem.

(1) initialize , , Null;

(2) for each do

(3)  ;

(4)  obtain LP-subproblem ;

(5)  

(6) end for

(7) if there are no that need to be solved then

(8)  obtain optimal performance index ;

(9)  obtain optimal solution vector ;

(10)  obtain optimal control input ;

(11) else

(12)  while do

(13)   for each do

(14)    extracting from ;

(15)    if has feasible solution then

(16)     obtain and ;

(17)    else

(18)     if satisfies and

       then

(19)       and ;

(20)      ;

(21)     end if

(22)     if then

(23)      ;

(24)     end if

(25)     if dose not satisfy and

        then

(26)      choose ;

(27)      ;

(28)      ;

(29)      ;

(30)     else

(31)      ;

(32)     end if

(33)     ;

(34)    end if

(35)   end for

(36)  end while

(37) end if