Lexicographic MPC with multiple economic criteria for constrained nonlinear systems. Issue 2 (January 2018)

• Record Type: Journal Article
• Authors: He, Defeng; Yu, Shiming; Ou, Linlin
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 2(2018)
• Page Start: 753
• Page End: 773
• Publication Date: 2018-01
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2017.11.040
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: Many control problems in process systems feature multi-objective optimization problems that involve several and often conflicting objective functions, such as economic profit and environmental concerns. In this paper, we consider a class of multi-objective model predictive control (MO-MPC) problems where nonlinear systems are subject to state and control constraints and multiple economic criteria are conflicting. Using the lexicographic optimization, we propose a prioritized MO-MPC scheme with guaranteed stability for economic optimization. At each sampling time, the MPC action is computed by solving a set of sequentially ordered single objective optimized control problems. Some sufficient conditions are established to ensure recursive feasibility and asymptotic stability of the MO-MPC in the context of economic criteria optimization. Two examples of multi-objective control of a coupled-tank system and a free-radical polymerization process are exploited to illustrate the effectiveness of the proposed MPC scheme and to evaluate the performance by some comparison experiments.