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Mixed-integer quadratic programs (MIQPs) are a versatile way of formulating vehicle decision making and motion planning problems, where the prediction model is a hybrid dynamical system that involves both discrete and continuous decision…

Robotics · Computer Science 2024-05-15 Rudolf Reiter , Rien Quirynen , Moritz Diehl , Stefano Di Cairano

Connected and automated vehicles (CAVs) have the potential to improve traffic throughput and achieve a more efficient utilization of the available roadway infrastructure. They also have the potential to reduce energy consumption through…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Nathan Goulet , Beshah Ayalew

Non-convex quadratically constrained quadratic programming (QCQP) problems have numerous applications in signal processing, machine learning, and wireless communications, albeit the general QCQP is NP-hard, and several interesting special…

Optimization and Control · Mathematics 2016-09-21 Kejun Huang , Nicholas D. Sidiropoulos

The electrical network reconfiguration problem aims to minimize losses in a distribution system by adjusting switches while ensuring radial topology. The growing use of renewable energy and the complexity of managing modern power grids make…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Yacine Mokhtari , Patrick Coirault , Emmanuel Moulay , Jérôme Le Ny , Didier Larraillet

This work solves suboptimal mixed-integer quadratic programs recursively for feedback control of dynamical systems. The proposed framework leverages parametric mixed-integer quadratic programming (MIQP) and hybrid systems theory to model a…

Optimization and Control · Mathematics 2025-07-04 Luke Fina , Christopher Petersen

In this paper, we consider the optimal coordination of automated vehicles at intersections under fixed crossing orders. We formulate the problem using direct optimal control and exploit the structure to construct a semi-distributed…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Robert Hult , Mario Zanon , Sebastien Gros , Paolo Falcone

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

Optimization and Control · Mathematics 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

In this paper we propose an Alternating Direction Method of Multipliers (ADMM) algorithm for solving a Model Predictive Control (MPC) optimization problem, in which the system has state and input constraints and a nonlinear input map. The…

Optimization and Control · Mathematics 2018-07-30 Sebastian East , Mark Cannon

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

The cooperative control of the connected and automated vehicle (CAV) is recognized as an effective approach to alleviate traffic congestion and improve traffic safety, especially for on-ramp bottlenecks. However, in the mixed traffic, the…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Haoji Liu , Weichao Zhuang , Guodong Yin , Rongcan Li , Chang Liu , Shanxing Zhou

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

Cooperative control of connected and automated vehicles (CAVs) promises smoother traffic flow. In mixed traffic, where human-driven vehicles with unknown dynamics coexist, data-driven predictive control techniques allow for CAV safe and…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Jiawei Wang , Yingzhao Lian , Yuning Jiang , Qing Xu , Keqiang Li , Colin N. Jones

In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This…

Optimization and Control · Mathematics 2015-09-29 Reza Takapoui , Nicholas Moehle , Stephen Boyd , Alberto Bemporad

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

Optimization and Control · Mathematics 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

This paper introduces a comprehensive strategy that integrates traffic perimeter control with traffic signal control to alleviate congestion in an urban traffic network (UTN). The strategy is formulated as a lexicographic multi-objective…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Viet Hoang Pham , Hyo-Sung Ahn

Confined areas present an opportunity for early deployment of autonomous vehicles (AV) due to the absence of non-controlled traffic participants. In this paper, we present an approach for coordination of multiple AVs in confined sites. The…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Stefan Kojchev , Robert Hult , Jonas Fredriksson

Decentralized non-convex optimization is important in many problems of practical relevance. Existing decentralized methods, however, typically either lack convergence guarantees for general non-convex problems, or they suffer from a high…

Optimization and Control · Mathematics 2025-10-20 Gösta Stomberg , Alexander Engelmann , Timm Faulwasser

Autonomous intersection management (AIM) poses significant challenges due to the intricate nature of real-world traffic scenarios and the need for a highly expensive centralised server in charge of simultaneously controlling all the…

Robotics · Computer Science 2024-11-19 Matteo Cederle , Marco Fabris , Gian Antonio Susto

Recent advances in neural-network architecture allow for seamless integration of convex optimization problems as differentiable layers in an end-to-end trainable neural network. Integrating medium and large scale quadratic programs into a…

Optimization and Control · Mathematics 2021-12-15 Andrew Butler , Roy Kwon

This paper tackles the challenge of coordinating traffic lights and automated vehicles at signalized intersections, formulated as a constrained finite-horizon optimal control problem. The problem falls into the category of mixed-integer…

Optimization and Control · Mathematics 2025-02-04 Azita Dabiri , Giray Önür , Sebastien Gros , Bart De Schutter