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Recent work has shown that stabilizing an affine control system while optimizing a quadratic cost subject to state and control constraints can be mapped to a sequence of Quadratic Programs (QPs) using Control Barrier Functions (CBFs) and…

Optimization and Control · Mathematics 2024-07-26 Shuo Liu , Wei Xiao , Calin A. Belta

Fixed-wing UAVs have transformed the transportation system with their high flight speed and long endurance, yet their safe operation in increasingly cluttered environments depends heavily on effective collision avoidance techniques. This…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Aryan Agarwal , Ravi Agrawal , Manan Tayal , Pushpak Jagtap , Shishir Kolathaya

This paper addresses the challenge of ensuring safety and feasibility in control systems using Control Barrier Functions (CBFs). Existing CBF-based Quadratic Programs (CBF-QPs) often encounter feasibility issues due to mixed relative degree…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Shuo Liu , Wei Xiao , Calin A. Belta

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

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

This paper is motivated by controllers developed for autonomous vehicles which occasionally result into conditions where safety is no longer guaranteed. We develop an exact-time safety recovery framework for any control-affine nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yingqing Chen , Christos G. Cassandras , Wei Xiao , Anni Li

Vehicle platooning using connected and automated vehicles (CAVs) has attracted considerable attention. In this paper, we address the problem of optimal coordination of CAV platoons at a highway on-ramp merging. We present a single-level…

Optimization and Control · Mathematics 2021-11-17 A M Ishtiaque Mahbub , Behdad Chalaki , Andreas A. Malikopoulos

Autonomous vehicles face tremendous challenges while interacting with human drivers in different kinds of scenarios. Developing control methods with safety guarantees while performing interactions with uncertainty is an ongoing research…

Robotics · Computer Science 2021-04-30 Yiwei Lyu , Wenhao Luo , John M. Dolan

In this paper, we establish a decentralized optimal control framework for connected and automated vehicles (CAVs) crossing multiple adjacent, multi-lane signal-free intersections to minimize energy consumption and improve traffic…

Optimization and Control · Mathematics 2022-04-18 Behdad Chalaki , Andreas A. Malikopoulos

Vehicle automation technology has made significant progress, laying the groundwork for a future of fully automated vehicles. This paper delves into the operation of connected and automated vehicles (CAVs). In prior work, we developed a…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Filippos N. Tzortzoglou , Dionysios Theodosis , Andreas Malikopoulos

The rapid adoption of autonomous vehicle has established mixed traffic environments, comprising both autonomous and human-driven vehicles (HDVs), as essential components of next-generation mobility systems. Along these lines, connectivity…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Filippos Tzortzoglou , Logan E. Beaver

This paper addresses the problem of safety-critical control for systems with unknown dynamics. It has been shown that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs subject to state and…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Wei Xiao , Calin Belta , Christos G. Cassandras

Connected and automated vehicles (CAVs) provide the most intriguing opportunity for enabling users to monitor transportation network conditions and make better decisions for improving safety and transportation efficiency. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Filippos N. Tzortzoglou , Dionysios Theodosis , Aditya Dave , Andreas Malikopoulos

The control barrier function (CBF) has become a fundamental tool in safety-critical systems design since its invention. Typically, the quadratic optimization framework is employed to accommodate CBFs, control Lyapunov functions (CLFs),…

Optimization and Control · Mathematics 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

The paper presents a movement strategy for Connected and Automated Vehicles (CAVs) in a lane-free traffic environment with vehicle nudging by use of an optimal control approach. State-dependent constraints on control inputs are considered…

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

We address the problem of merging traffic from two roadways consisting of both Connected Autonomous Vehicles (CAVs) and Human Driven Vehicles (HDVs). Guaranteeing safe merging in such mixed traffic settings is challenging due to the…

Systems and Control · Electrical Eng. & Systems 2023-05-29 Ehsan Sabouni , H. M. Sabbir Ahmad , Christos G. Cassandras , Wenchao Li

The proliferation of connected and automated vehicles (CAVs) has positioned mixed traffic environments, which encompass both CAVs and human driven vehicles (HDVs), as critical components of emerging mobility systems. Signalized…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Filippos N. Tzortzoglou , Logan E. Beaver , Andreas A. Malikopoulos

With the increasing need for safe control in the domain of autonomous driving, model-based safety-critical control approaches are widely used, especially Control Barrier Function (CBF)-based approaches. Among them, Exponential CBF (eCBF) is…

Robotics · Computer Science 2022-05-10 Spencer Van Koevering , Yiwei Lyu , Wenhao Luo , John Dolan

We consider the problem of scaling up optimal and safe controllers for Connected and Automated Vehicles (CAVs) from a single Control Zone (CZ) around a traffic conflict area to an entire network. The goal is to jointly minimize travel time…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Kaiyuan Xu , Christos G. Cassandras