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This paper investigates the safe platoon formation tracking and merging control problem of connected and automated vehicles (CAVs) on curved multi-lane roads. The first novelty is the separation of the control designs into two distinct…

Systems and Control · Electrical Eng. & Systems 2025-02-17 Xiao Chen , Zhiqi Tang , Karl Henrik Johansson , Jonas Mårtensson

An open question in autonomous driving is how best to use simulation to validate the safety of autonomous vehicles. Existing techniques rely on simulated rollouts, which can be inefficient for finding rare failure events, while other…

Robotics · Computer Science 2020-06-29 Anthony Corso , Ritchie Lee , Mykel J. Kochenderfer

In this article, we consider the infinite-horizon reach-avoid (RA) and stabilize-avoid (SA) zero-sum game problems for general nonlinear continuous-time systems, where the goal is to find the set of states that can be controlled to reach or…

Optimization and Control · Mathematics 2026-05-20 Boyang Li , Zheng Gong , Sylvia Herbert

Lyapunov stability of a mechanical system means that the dynamic response stays bounded in an arbitrarily small neighborhood of a static equilibrium configuration under small perturbations in positions and velocities. This type of stability…

Systems and Control · Computer Science 2016-08-10 Péter L. Várkonyi , Yizhar Or

This research focuses on trajectory planning problems for autonomous vehicles utilizing numerical optimal control techniques. The study reformulates the constrained optimization problem into a nonlinear programming problem, incorporating…

Robotics · Computer Science 2023-12-13 Jiayu Fan , Nikolce Murgovski , Jun Liang

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

Optimal cruise control design can increase highway throughput and vehicle safety in traffic flow. In most heterogeneous platoons, the absence of vehicle-to-vehicle (V2V) communication poses challenges in maintaining system stability and…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Vishrut Bohara , Siavash Farzan

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied to prove that under some conditions…

Chaotic Dynamics · Physics 2009-09-30 Jianping Cai , Zhengzhong Yuan

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

In mixed traffic environments, where Connected and Autonomed Vehicles (CAVs) coexist with potentially non-cooperative Human-Driven Vehicles (HDVs), the self-centered behavior of human drivers may compromise the efficiency, optimality, and…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Anni Li , Ting Bai , Yingqing Chen , Christos G. Cassandras , Andreas A. Malikopoulos

We synthesize performance-aware safe cruise control policies for longitudinal motion of platoons of autonomous vehicles. Using set-invariance theories, we guarantee infinite-time collision avoidance in the presence of bounded additive…

Systems and Control · Computer Science 2017-06-08 Sadra Sadraddini , Sivaranjani S , Vijay Gupta , Calin Belta

The anticipated launch of fully autonomous vehicles presents an opportunity to develop and implement novel traffic management systems. Intersections are one of the bottlenecks for urban traffic, and thus offer tremendous potential for…

Systems and Control · Electrical Eng. & Systems 2024-01-25 P. C. Joshi , M. A. A. Boon , S. C. Borst

This paper addresses the problem of navigation control of a general class of uncertain nonlinear multi-agent systems in a bounded workspace of $\mathbb{R}^n$ with static obstacles. In particular, we propose a decentralized control protocol…

Systems and Control · Computer Science 2019-09-05 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas

This paper addresses the problem of position- and orientation-based formation control of a class of second-order nonlinear multi-agent systems in a $3$D workspace with obstacles. More specifically, we design a decentralized control protocol…

Systems and Control · Computer Science 2017-12-07 Christos K. Verginis , Alexandros Nikou , Dimos V. Dimarogonas

Connected and automated vehicles (CAVs) have a great potential to improve traffic efficiency in mixed traffic systems, which has been demonstrated by multiple numerical simulations and field experiments. However, some fundamental properties…

Optimization and Control · Mathematics 2020-02-07 Jiawei Wang , Yang Zheng , Qing Xu , Jianqiang Wang , Keqiang Li

Coordination of local and global aerial traffic has become a legal and technological bottleneck as the number of unmanned vehicles in the common airspace continues to grow. To meet this challenge, automation and decentralization of control…

Robotics · Computer Science 2023-12-19 Boldizsár Balázs , Tamás Vicsek , Gergő Somorjai , Tamás Nepusz , Gábor Vásárhelyi

We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a union of half-planes which share a common straight line. This set will be named a junction. We…

Optimization and Control · Mathematics 2014-12-10 Salomé Oudet

This paper proposes a decentralized trajectory planning framework for the collision avoidance problem of multiple micro aerial vehicles (MAVs) in environments with static and dynamic obstacles. The framework utilizes spatiotemporal…

Robotics · Computer Science 2024-04-25 Siyuan Wu , Gang Chen , Moji Shi , Javier Alonso-Mora