Elucidation of the role of constraints in economic model predictive control. (2016)

• Record Type: Journal Article
• Authors: Ellis, Matthew; Durand, Helen; Christofides, Panagiotis D.
• Is Part Of: Annual reviews in control. Volume 41(2016)
• Page Start: 208
• Page End: 217
• Publication Date: 2016
• Subjects: Economic model predictive control -- Process economic optimization -- Process control -- Nonlinear systems; Automatic control -- Periodicals; Periodicals; 629.805
• DOI: 10.1016/j.arcontrol.2016.04.004
• Languages: English
• ISSNs: 1367-5788

Abstract

Abstract: 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.