Economic Model Predictive Control for Periodic Operation: A Quadratic Programming Approach

TL;DR

This paper introduces a resource-efficient economic model predictive control scheme for periodic systems that uses a single quadratic program to enable real-time implementation, ensuring stability and optimality.

Contribution

It presents a novel quadratic programming approach for economic MPC in periodic systems, improving computational efficiency for real-time control.

Findings

Ensures feasibility, stability, and convergence of the control scheme.

Validates effectiveness through numerical experiments.

Achieves high computational efficiency for real-time applications.

Abstract

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model predictive control (MPC) schemes tailored to optimize specific economic criteria was shown to offer substantial advantages. However, the real-time implementation of these schemes is often infeasible due to limited computational resources. To tackle this problem, we propose a resource-efficient economic model predictive control scheme for periodic systems, leveraging existing single-layer MPC techniques. Our method relies on a single quadratic optimization problem, which ensures high computational efficiency for real-time control in dynamic settings. We prove feasibility, stability and convergence to optimum of the proposed approach, and validate the effectiveness through numerical experiments.