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We present a dual-barrier control barrier function (CBF) safety filter for real-time, safety-critical velocity control of holonomic robots operating in incrementally built occupancy grid maps. As a robot explores an unknown environment,…

We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

Robotics · Computer Science 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

Autonomy advances have enabled robots in diverse environments and close human interaction, necessitating controllers with formal safety guarantees. This paper introduces an experimental platform designed for the validation and demonstration…

Robotics · Computer Science 2023-10-18 Bhavya Giri Goswami , Manan Tayal , Karthik Rajgopal , Pushpak Jagtap , Shishir Kolathaya

In this paper we propose a technique that assigns obstacles to clusters used for collision avoidance via Mixed-Integer Programming. This strategy enables a reduction in the number of binary variables used for collision avoidance, thus…

Systems and Control · Electrical Eng. & Systems 2020-09-17 Vinicius Antonio Battagello , Nei Yoshihiro Soma , Rubens Junqueira Magalhaes Afonso

In this paper, we propose a new class of Control Barrier Functions (CBFs) for Unmanned Ground Vehicles (UGVs) that help avoid collisions with kinematic (non-zero velocity) obstacles. While the current forms of CBFs have been successful in…

If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

This article proposes a Novel Nonlinear Model Predictive Control (NMPC) for navigation and obstacle avoidance of an Unmanned Aerial Vehicle (UAV). The proposed NMPC formulation allows for a fully parametric obstacle trajectory, while in…

We consider the problem of designing distributed collision-avoidance multi-agent control in large-scale environments with potentially moving obstacles, where a large number of agents are required to maintain safety using only local…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Songyuan Zhang , Kunal Garg , Chuchu Fan

This paper considers the collision avoidance problem in a multi-agent multi-obstacle framework. The originality in solving this intensively studied problem resides in the proposed geometrical view combined with differential flatness for…

Systems and Control · Computer Science 2016-03-17 Florin Stoican , Vlad-Mihai Ivanusca , Ionela Prodan

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

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

We propose factor graph optimization for simultaneous planning, control, and trajectory estimation for collision-free navigation of autonomous systems in environments with moving objects. The proposed online probabilistic motion planning…

Robotics · Computer Science 2022-04-29 Matthew King-Smith , Panagiotis Tsiotras , Frank Dellaert

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg

Robots operating in everyday environments must navigate and manipulate within densely cluttered spaces, where physical contact with surrounding objects is unavoidable. Traditional safety frameworks treat contact as unsafe, restricting…

We present an algorithm for safe robot navigation in complex dynamic environments using a variant of model predictive equilibrium point control. We use an optimization formulation to navigate robots gracefully in dynamic environments by…

Robotics · Computer Science 2023-03-20 Senthil Hariharan Arul , Jong Jin Park , Dinesh Manocha

We present a novel algorithm for collision-free kinematics of multiple manipulators in a shared workspace with moving obstacles. Our optimization-based approach simultaneously handles collision-free constraints based on reciprocal velocity…

Robotics · Computer Science 2019-03-12 Liangliang Zhao , Jingdong Zhao , Hong Liu , Dinesh Manocha

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

We present a new approach for modeling avoidance constraints in 2D environments, in which waypoints are assigned to obstacle-free polyhedral regions. Constraints of this form are often formulated as mixed-integer programming (MIP) problems…

Optimization and Control · Mathematics 2024-11-20 Raul Garcia , Illya V. Hicks , Joey Huchette

This contribution presents a robot path-following framework via Reactive Model Predictive Contouring Control (RMPCC) that successfully avoids obstacles, singularities and self-collisions in dynamic environments at 100 Hz. Many…

Robotics · Computer Science 2025-08-14 Junheon Yoon , Woo-Jeong Baek , Jaeheung Park

A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger
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