Work

Using Ramp Functions to solve LP-based MPC

Year: 2025

Type: conference-paper

Abstract: A new solution strategy, utilizing ramp functions, is proposed for solving LP problems arising in Model Predictive Control. The solution strategy can take a general LP formulation, and avoids the increase in optimization variables resulting from converting the LP problem into standard form. Unlike the simplex method, there is no need to find an initial feasible solution. Numerical experiments demonstrate a significant increase in solution speed compared to the previously proposed ramp-based Simplex [1], and compares favorably to a state-of-the-art commercial solver like CPLEX [2] for small to moderately sized problems.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc57313.2025.11312455

Authors: Morten Hovd, Giorgio Valmorbida

Institutions: Norwegian University of Science and Technology, Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire des signaux et systèmes, CentraleSupélec

Language: English

Topic: Advanced Control Systems Optimization

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7123345333

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