Implementation of model predictive control for tracking in embedded systems using a sparse extended ADMM algorithm

Autor: Krupa, Pablo, Alvarado, Ignacio, Limon, Daniel, Alamo, Teodoro
Rok vydání: 2020
Předmět:
Zdroj: IEEE Transactions on Control Systems Technology, 2021
Druh dokumentu: Working Paper
DOI: 10.1109/TCST.2021.3128824
Popis: This article presents a sparse, low-memory footprint optimization algorithm for the implementation of the model predictive control (MPC) for tracking formulation in embedded systems. This MPC formulation has several advantages over standard MPC formulations, such as an increased domain of attraction and guaranteed recursive feasibility even in the event of a sudden reference change. However, this comes at the expense of the addition of a small amount of decision variables to the MPC's optimization problem that complicates the structure of its matrices. We propose a sparse optimization algorithm, based on an extension of the alternating direction method of multipliers, that exploits the structure of this particular MPC formulation. We describe the controller formulation and detail how its structure is exploited by means of the aforementioned optimization algorithm. We show closed-loop simulations comparing the proposed solver against other solvers and approaches from the literature.
Comment: Accepted version of the article published in IEEE Transactions on Control Systems Technology (8 pages, 5 figures)
Databáze: arXiv