CUED Publications database

Implications of discretization on dissipativity and economic model predictive control

Olanrewaju, OI and Maciejowski, JM (2017) Implications of discretization on dissipativity and economic model predictive control. Journal of Process Control, 49. pp. 1-8. ISSN 0959-1524

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Abstract

© 2016 Elsevier Ltd Economic model predictive control, where a generic cost is employed as the objective function to be minimized, has recently gained much attention in model predictive control literature. Stability proof of the resulting closed-loop system is often based on strict dissipativity of the system with respect to the objective function. In this paper, starting with a continuous-time setup, we consider the ‘discretize then optimize’ approach to solving continuous-time optimal control problems and investigate the effect of the discretization process on the closed-loop system. We show that while the continuous-time system may be strictly dissipative with respect to the objective function, it is possible that the resulting closed-loop system is unstable if the discrete-approximation of the continuous-time optimal control problem is not properly set up. We use a popular example from the economic MPC literature to illustrate our results.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:19
Last Modified: 10 Aug 2017 01:39
DOI: