Elucidation of the role of constraints in economic model predictive control

作者：Ellis Matthew; Durand Helen; Christofides Panagiotis D^*

来源：Annual Reviews in Control, 2016, 41: 208-217.

DOI：10.1016/j.arcontrol.2016.04.004

• Economic model predictive control
• Process economic optimization
• Process control
• Nonlinear systems

Economic model predictive control (EMPC) is a predictive feedback control methodology that unifies economic optimization and control. EMPC uses a stage cost that reflects the process/system economics. In general, the stage cost used is not a quadratic stage cost like that typically used in standard tracking model predictive control. In this paper, a brief overview of EMPC methods is provided. In particular, the role of constraints imposed in the optimization problem of EMPC for feasibility, closed-loop stability, and closed-loop performance is explained. Three main types of constraints are considered including terminal equality constraints, terminal region constraints, and constraints designed via Lyapunov-based techniques. The paper closes with a well-known chemical engineering example (a non-isothermal CSTR with a second-order reaction) to illustrate the effectiveness of time-varying operation to improve closed-loop economic performance compared to steady-state operation and to demonstrate the impact of economically motivated constraints on optimal operation.

• 出版日期2016