Iterative learning model predictive control for constrained multivariable control of batch processes

• We propose a MPC technique combined with ILC for constrained multivariable control.
• The proposed ILMPC formulation is based on general MPC and incorporates an iterative learning function into MPC.
• We provide sufficient conditions for asymptotic and monotonic convergences of the proposed ILMPC.
• Simulation examples are provided to show the effectiveness of the proposed technique.

In this paper, we propose a model predictive control (MPC) technique combined with iterative learning control (ILC), called the iterative learning model predictive control (ILMPC), for constrained multivariable control of batch processes. Although the general ILC makes the outputs converge to reference trajectories under model uncertainty, it uses open-loop control within a batch; thus, it cannot reject real-time disturbances. The MPC algorithm shows identical performance for all batches, and it highly depends on model quality because it does not use previous batch information. We integrate the advantages of the two algorithms. The proposed ILMPC formulation is based on general MPC and incorporates an iterative learning function into MPC. Thus, it is easy to handle various issues for which the general MPC is suitable, such as constraints, time-varying systems, disturbances, and stochastic characteristics. Simulation examples are provided to show the effectiveness of the proposed ILMPC.