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This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

Optimization and Control · Mathematics 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

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…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Pablo Krupa , Ignacio Alvarado , Daniel Limon , Teodoro Alamo

We present a Model Predictive Control (MPC) algorithm for energy management in aircraft with hybrid electric propulsion systems consisting of gas turbine and electric motor components. Series and parallel configurations are considered. By…

Optimization and Control · Mathematics 2022-06-13 Martin Doff-Sotta , Mark Cannon , Marko Bacic

This article presents the real-time implementation of the model predictive control for tracking formulation to control a two-wheeled inverted pendulum robot. This formulation offers several advantages over standard MPC formulations at the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Pablo Krupa , Jose Camara , Ignacio Alvarado , Daniel Limon , Teodoro Alamo

Designing controllers for systems affected by model uncertainty can prove to be a challenge, especially when seeking the optimal compromise between the conflicting goals of identification and control. This trade-off is explicitly taken into…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Elena Arcari , Lukas Hewing , Max Schlichting , Melanie N. Zeilinger

In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an…

Optimization and Control · Mathematics 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

Model Predictive Control (MPC) has shown to be a successful method for many applications that require control. Especially in the presence of prediction uncertainty, various types of MPC offer robust or efficient control system behavior. For…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Tim Brüdigam , Jie Zhan , Dirk Wollherr , Marion Leibold

Intelligent aerial platforms such as Unmanned Aerial Vehicles (UAVs) are expected to revolutionize various fields, including transportation, traffic management, field monitoring, industrial production, and agricultural management. Among…

Robotics · Computer Science 2024-11-12 Huy-Hoang Ngo , Thanh Nguyen Canh , Xiem HoangVan

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

Optimization and Control · Mathematics 2017-06-30 Anja Bestler , Knut Graichen

We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical systems to optimize a coupled objective function while…

Optimization and Control · Mathematics 2012-12-07 Tyler H. Summers , John Lygeros

We present recent results that demonstrate the power of viewing the problem of V-formation in a flock of birds as one of Model Predictive Control (MPC). The V-formation-MPC marriage can be understood in terms of the problem of synthesizing…

Systems and Control · Electrical Eng. & Systems 2020-02-24 Radu Grosu , Anna Lukina , Scott A. Smolka , Ashish Tiwari , Vasudha Varadarajan , Xingfang Wang

Heavy computational load for solving nonconvex problems for large-scale systems or systems with real-time demands at each sample step has been recognized as one of the reasons for preventing a wider application of nonlinear model predictive…

Optimization and Control · Mathematics 2022-04-19 Yaling Ma , Runze Gao , Li Dai , Jinxian Wu , Yuanqing Xia

This paper focuses on the problem of collaborative collision avoidance for autonomous inland ships. Two solutions are provided to solve the problem in a distributed manner. We first present a distributed model predictive control (MPC)…

Systems and Control · Electrical Eng. & Systems 2025-07-25 Hoang Anh Tran , Nikolai Lauvås , Tor Arne Johansen , Rudy R. Negenborn

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Model Predictive Control (MPC) is a powerful and flexible design tool of high-performance controllers for physical systems in the presence of input and output constraints. A challenge for the practitioner applying MPC is the need of tuning…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Marco Forgione , Dario Piga , Alberto Bemporad

The D-Wave quantum annealer has emerged as a novel computational architecture that is attracting significant interest, but there have been only a few practical algorithms exploiting the power of quantum annealers. Here we present a model…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Daisuke Inoue , Hiroaki Yoshida

Differentiable model predictive control (MPC) offers a powerful framework for combining learning and control. However, its adoption has been limited by the inherently sequential nature of traditional optimization algorithms, which are…

Optimization and Control · Mathematics 2025-10-08 Emre Adabag , Marcus Greiff , John Subosits , Thomas Lew

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

Optimization and Control · Mathematics 2022-10-26 Saskia Dietze , Martin A. Grepl

The alternating direction method of multipliers (ADMM) has gained increasing popularity in embedded model predictive control (MPC) due to its code simplicity and pain-free parameter selection. However, existing ADMM solvers either target…

Optimization and Control · Mathematics 2026-05-22 Liang Wu , Bo Yang , Junheng Li , Xu Yang , Yilin Mo , Yang Shi , Aaron D. Ames , Ján Drgoňa