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When controlling multi-agent systems, the trade-off between performance and scalability is a major challenge. Here, we address this difficulty by using mean field games (MFGs), which is a framework that deduces the macroscopic dynamics…

Optimization and Control · Mathematics 2021-08-06 Daisuke Inoue , Yuji Ito , Takahito Kashiwabara , Norikazu Saito , Hiroaki Yoshida

Model predictive control (MPC) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. In this paper, we investigate how to achieve MPC-based motion planning when a neural state-space model represents the…

Robotics · Computer Science 2025-11-18 Iman Askari , Ali Vaziri , Xuemin Tu , Shen Zeng , Huazhen Fang

In recent years, the increasing interest in Stochastic model predictive control (SMPC) schemes has highlighted the limitation arising from their inherent computational demand, which has restricted their applicability to slow-dynamics and…

Systems and Control · Electrical Eng. & Systems 2020-05-22 Martina Mammarella , Teodoro Alamo , Fabrizio Dabbene , Matthias Lorenzen

Lane changing and lane merging remains a challenging task for autonomous driving, due to the strong interaction between the controlled vehicle and the uncertain behavior of the surrounding traffic participants. The interaction induces a…

Optimization and Control · Mathematics 2022-12-01 Renzi Wang , Mathijs Schuurmans , Panagiotis Patrinos

This paper presents a Distributed Stochastic Model Predictive Control algorithm for networks of linear systems with multiplicative uncertainties and local chance constraints on the states and control inputs. The chance constraints are…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

The problem of achieving a good trade-off in Stochastic Model Predictive Control between the competing goals of improving the average performance and reducing conservativeness, while still guaranteeing recursive feasibility and low…

Optimization and Control · Mathematics 2016-06-21 Matthias Lorenzen , Frank Allgöwer , Fabrizio Dabbene , Roberto Tempo

In this work we are interested in the mean-field formulation of kinetic models under control actions where the control is formulated through a model predictive control strategy (MPC) with varying horizon. The relation between the (usually…

Optimization and Control · Mathematics 2015-11-30 Michael Herty , Mattia Zanella

We address control synthesis of stochastic discrete-time linear multi-agent systems under jointly chance-constrained collaborative signal temporal logic specifications in a distribution-free manner using available disturbance samples, which…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas

This paper proposes Distributed Model Predictive Covariance Steering (DiMPCS) for multi-agent control under stochastic uncertainty. The scope of our approach is to blend covariance steering theory, distributed optimization and model…

Robotics · Computer Science 2025-01-28 Augustinos D. Saravanos , Isin M. Balci , Efstathios Bakolas , Evangelos A. Theodorou

This work presents an explicit-implicit procedure to compute a model predictive control (MPC) law with guarantees on recursive feasibility and asymptotic stability. The approach combines an offline-trained fully-connected neural network…

Machine Learning · Computer Science 2021-07-07 Steven W. Chen , Tianyu Wang , Nikolay Atanasov , Vijay Kumar , Manfred Morari

We propose a Model Predictive Control (MPC) for collision avoidance between an autonomous agent and dynamic obstacles with uncertain predictions. The collision avoidance constraints are imposed by enforcing positive distance between convex…

Robotics · Computer Science 2022-08-09 Siddharth H. Nair , Eric H. Tseng , Francesco Borrelli

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

Robotics · Computer Science 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

In this paper we present a model predictive control (MPC) approach to optimize vehicle scheduling and routing in an autonomous mobility-on-demand (AMoD) system. In AMoD systems, robotic, self-driving vehicles transport customers within an…

Systems and Control · Computer Science 2017-08-15 Rick Zhang , Federico Rossi , Marco Pavone

We propose a formulation for approximate constrained nonlinear output-feedback stochastic model predictive control. Starting from the ideal but intractable stochastic optimal control problem (OCP), which involves the optimization over…

Optimization and Control · Mathematics 2023-01-10 Florian Messerer , Katrin Baumgärtner , Moritz Diehl

In control applications there is often a compromise that needs to be made with regards to the complexity and performance of the controller and the computational resources that are available. For instance, the typical hardware platform in…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

The implementation of optimization-based motion coordination approaches in real world multi-agent systems remains challenging due to their high computational complexity and potential deadlocks. This paper presents a distributed model…

Robotics · Computer Science 2021-06-03 Hongyu Zhou , Changliu Liu

A robust Model Predictive Control (MPC) approach for controlling front steering of an autonomous vehicle is presented in this paper. We present various approaches to increase the robustness of model predictive control by using weight…

Systems and Control · Computer Science 2018-05-23 Che Kun Law , Darshit Dalal , Stephen Shearrow

This article investigates synthetic model-predictive control (MPC) problems to demonstrate that an increased precision of the internal prediction model (PM) automatially entails an improvement of the controller as a whole. In contrast to…

Machine Learning · Computer Science 2023-08-30 L. Féret , A. Gepperth , S. Lambeck

This brief introduction to Model Predictive Control specifically addresses stochastic Model Predictive Control, where probabilistic constraints are considered. A simple linear system subject to uncertainty serves as an example. The Matlab…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Tim Brüdigam

We study the synthesis of optimal control policies for large-scale multi-agent systems. The optimal control design induces a parsimonious control intervention by means of l-1, sparsity-promoting control penalizations. We study instantaneous…

Optimization and Control · Mathematics 2016-11-15 Giacomo Albi , Massimo Fornasier , Dante Kalise