Inherently Robust Economic Model Predictive Control Without Dissipativity

TL;DR

This paper introduces conditions for economic MPC to be inherently robust against small disturbances without relying on dissipativity, ensuring recursive feasibility and robustness through standard design methods.

Contribution

It provides new sufficient conditions for robustness in economic MPC that do not depend on dissipativity assumptions, broadening practical applicability.

Findings

Economic MPC can be made robust without dissipativity assumptions.

Standard design methods can satisfy the new robustness conditions.

A small example demonstrates inherent robustness to disturbances.

Abstract

We establish sufficient conditions for the terminal cost and constraint such that economic model predictive control (MPC) is robustly recursively feasible and economically robust to small disturbances without any assumptions of dissipativity. Moreover, we demonstrate that these sufficient conditions can be satisfied with standard design methods. A small example is presented to illustrate the inherent robustness of economic MPC to small disturbances.