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Formulation of Economic Model Predictive Control to Address System Dynamics over Multiple Time Scales

In this paper, a composite model predictive control (MPC) structure for the class of standard singularly perturbed systems is developed. To control and optimize economic performance of the slow dynamics, an economic MPC is developed and to stabilize the fast dynamics, a fast MPC is designed. Both MPC strategies do not rely on explicit stabilizing and/or terminal constraints. Working within a sampled-data setting, closed-loop stability in the sense of asymptotic stability of the economically optimal steady state is discussed. A chemical process example is given to demonstrate the control architecture.