Publication

Robust economic model predictive control based on a periodicity constraint

Journal Article (2019)

Journal

International Journal of Robust and Nonlinear Control

Pages

3296-3310

Volume

29

Number

11

Doc link

https://doi.org/10.1002/rnc.4551

File

Download the digital copy of the doc pdf document

Abstract

This paper proposes robust economic model predictive control based on a periodicity constraint for linear systems subject to unknown-but-bounded additive disturbances. In this economic MPC design, a periodic steady-state trajectory is not required and thus assumed unknown, which precludes the use of enforcing terminal state constraints as in other standard economic formulations. Instead, based on the desired periodicity of system operation, we optimize the economic performance over a set of periodic trajectories that include the current state. To achieve robust constraint satisfaction, we use a tube-based technique in the economic MPC formulation. The mismatches between the nominal model and the closed-loop system with perturbations are limited using a local control law. With the proposed robust tube-based strategy, recursive feasibility is guaranteed. Moreover, under a convexity assumption, the closed-loop convergence of the closed-loop system is analyzed, and an optimality certificate is provided to check if the closed-loop trajectory reaches a neighborhood of the optimal nominal periodic steady trajectory using Karush-Kuhn-Tucker optimality conditions. Finally, through numerical examples, we show the effectiveness of the proposed approach.

Categories

optimisation, periodic control, predictive control.

Scientific reference

Y. Wang, D. Muñoz, V. Puig and G. Cembrano. Robust economic model predictive control based on a periodicity constraint. International Journal of Robust and Nonlinear Control, 29(11): 3296-3310, 2019.