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Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

Avoiding hybrid obstacles in unknown scenarios with an efficient flight strategy is a key challenge for unmanned aerial vehicle applications. In this paper, we introduce a technique to distinguish dynamic obstacles from static ones with…

Robotics · Computer Science 2021-05-17 Han Chen , Peng Lu

The problem of maneuvering a vehicle through a race course in minimum time requires computation of both longitudinal (brake and throttle) and lateral (steering wheel) control inputs. Unfortunately, solving the resulting nonlinear optimal…

Robotics · Computer Science 2019-02-05 Nitin R. Kapania , John Subosits , J Christian Gerdes

For accomplishing a variety of missions in challenging environments, the capability of navigating with full autonomy while avoiding unexpected obstacles is the most crucial requirement for UAVs in real applications. In this paper, we…

Robotics · Computer Science 2020-12-29 Han Chen , Peng Lu

This paper presents a hierarchical planning algorithm for racing with multiple opponents. The two-stage approach consists of a high-level behavioral planning step and a low-level optimization step. By combining discrete and continuous…

Robotics · Computer Science 2026-04-29 Georg Jank , Matthias Rowold , Boris Lohmann

We investigate a method to deal with congestion of sectors and delays in the tactical phase of air traffic flow and capacity management. It relies on temporal objectives given for every point of the flight plans and shared among the…

Artificial Intelligence · Computer Science 2013-09-18 Gaétan Marceau , Pierre Savéant , Marc Schoenauer

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

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 presents a two-step algorithm for online trajectory planning in indoor environments with unknown obstacles. In the first step, sampling-based path planning techniques such as the optimal Rapidly exploring Random Tree (RRT*)…

Robotics · Computer Science 2023-02-07 Martin Zimmermann , Minh Nhat Vu , Florian Beck , Anh Nguyen , Andreas Kugi

Urban Air Mobility (UAM) has the potential to revolutionize daily transportation, offering rapid and efficient aerial mobility services. Take-off and merging phases are critical for air corridor operations, requiring the coordination of…

Optimization and Control · Mathematics 2025-08-22 Yingqi Liu , Tianlu Pan , Jingjun Tan , Renxin Zhong , Can Chen

This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

Optimization and Control · Mathematics 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

The booming air transportation industry inevitably burdens air traffic controllers' workload, causing unexpected human factor-related incidents. Current air traffic control systems fail to consider spoken instructions for traffic…

Sound · Computer Science 2024-10-21 Dongyue Guo , Zheng Zhang , Bo Yang , Jianwei Zhang , Hongyu Yang , Yi Lin

Path planning is important for the autonomy of Unmanned Aerial Vehicle (UAV), especially for scheduling UAV delivery. However, the operating environment of UAVs is usually uncertain and dynamic. Without proper planning, collisions may…

Systems and Control · Computer Science 2018-05-10 Ziji Shi , Wee Keong Ng

This paper develops a novel physics-based approach for fault-resilient multi-quadcopter coordination in the presence of abrupt quadcopter failure. Our approach consists of two main layers: (i) high-level physics-based guidance to safely…

Dynamical Systems · Mathematics 2021-10-18 Hamid Emadi , Harshvardhan Uppaluru , Hossein Rastgoftar

This paper is devoted to the analysis and resolution of a pathological phenomenon in airplane encounters called blocking mode. As autonomy in airplane systems increases, a pathological phenomenon can be observed in two-aircraft encounter…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Shuhao Qi , Zengjie Zhang , Zhiyong Sun , Sofie Haesaert

In this paper, we propose a reachable set based collision avoidance algorithm for unmanned aerial vehicles (UAVs). UAVs have been deployed for agriculture research and management, surveillance and sensor coverage for threat detection and…

Systems and Control · Computer Science 2016-09-27 Yuchen Zhou , John S. Baras

This paper is based on a crucial issue in the aviation world: how to optimize the trajectory and controls given to the aircraft in order to optimize flight time and fuel consumption. This study aims to provide elements of a response to this…

Optimization and Control · Mathematics 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

We present a novel complex number formulation along with tight convex relaxations for the aircraft conflict resolution problem. Our approach combines both speed and heading control and provides global optimality guarantees despite…

Computational Engineering, Finance, and Science · Computer Science 2017-09-20 David Rey , Hassan Hijazi

This paper studies the trajectory optimization problem for an aerial vehicle with the mission of flying between a pair of given initial and final locations. The objective is to minimize the travel time of the aerial vehicle ensuring that…

Artificial Intelligence · Computer Science 2020-02-26 Behzad Khamidehi , Elvino S. Sousa

In this paper, scheduling problems of aircraft minimizing the total delays on a same runway and on dual runways are studied. In contrast to the algorithms based on mixed-integer optimization models in existing works, where the optimality…

Optimization and Control · Mathematics 2026-03-18 Peng Lin , Haopeng Yang