Optimization for Nonlinear Uncertain Switched Stochastic Systems with Initial State Difference in Batch Culture Process

Algorithm 1

Master processor (Processor 0).

Require:

The experimental data such as , , ;

Ensure:

The value of and ;

1: Randomly generate particle positions, denoted by . Based on (34), compute the

constraint functions, denoted by , , , ;

2: for  each   do

3: if  ,  then

4: compute  ,  and move according to ,

until , with the search direction and the step-size selected by Armijo line search;

5: end if

6: end for

7: Solve system (23) by (47). Based on (25), compute the cost function, denoted by ,

and let , where ;

8: Let and broadcast , and , , to all Processors;

9: Let ;

10: for  ; ;   do

11: if  ( and )  then

12: return   and ;

13: end if

14: Let ;

15: for  ; ;   do

16: if    then

17: Let ;

18: Finish the loop and start the loop;

19: end if

20: Receive () the updated information of Processor during iteration , including and ;

21: if    then

22: Let and Broadcast () and the updated to all slave processors;

23: else

24: Broadcast () to all slave processors;

25: end if

26: end for

27: end for