2023/09/08 by Kristína Fedorová, Yuning Jiang, Fedorová, Kristína +7
Engineering · Materials Science · #Advanced Control Systems Optimization #Catalytic Processes in Materials Science #FOS: Electrical engineering #FOS: Mathematics #Mesoporous Materials and Catalysis #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2309.04444
openalex publication_date 2023/09/08 · openalex created_date 2023/09/12 · openalex updated_date 2026/07/28
Most of the real-time implementations of the stabilizing optimal control actions suffer from the necessity to provide high computational effort. This paper presents a cutting-edge approach for real-time evaluation of linear-quadratic model predictive control (MPC) that employs a novel generalized stopping criterion, achieving asymptotic stability in the presence of input constraints. The proposed method evaluates a fixed number of iterations independent of the initial condition, eliminating the necessity for computationally expensive methods. We demonstrate the effectiveness of the introduced technique by its implementation of two widely-used first-order optimization methods: the projected gradient descent method (PGDM) and the alternating directions method of multipliers (ADMM). The numerical simulation confirmed a significantly reduced number of iterations, resulting in suboptimality rates of less than 2 %, while the effort reductions exceeded 80 %. These results nominate the proposed criterion for an efficient real-time implementation method of MPC controllers.