Aircraft environmental control using mpc(model predectuve control)

ssc_aircraft_ecs(run in matlab) and lineraize the simulink model by finding the input and output and i need to replace the pi controller with model predictive controller(mpc)MIMO,and compare the plot and justify the mpc is better than pi in handlling the system. State space ,transfer function of the input/output model,Weighting matrix,cost function all mpc characteristics should me mentioned,we should not do by trail and error.