A Periodic Tracking MPC that is Locally Equivalent to Periodic Economic MPC*. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Zanon, Mario; Gros, Séebastien; Diehl, Moritz
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 10711
• Page End: 10716
• Publication Date: 2017-07
• Subjects: Periodic Economic MPC -- Tracking MPC; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.2224
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Stability for economic Model Predictive Control (MPC) is in general difficult to establish. In contrast, tracking MPC has well-established stability guarantees, but can yield poor closed-loop performance in terms of the selected economic criterion. In Zanon et al. (2016), a formal procedure to design a tracking MPC scheme so as to locally approximate the behaviour of economic MPC was proposed for the case of optimal steady-state operation. In this paper, we extend that result to the periodic case and provide a procedure to compute the tracking stage cost numerically. We illustrate our developments in a simulated example.