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Obstacle avoidance between polytopes is a challenging topic for optimal control and optimization-based trajectory planning problems. Existing work either solves this problem through mixed-integer optimization, relying on simplification of…

Robotics · Computer Science 2022-06-01 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints. However, when facing complex configuration spaces, cluttered with obstacles, roboticists typically fall back to…

Robotics · Computer Science 2022-05-10 Tobia Marcucci , Mark Petersen , David von Wrangel , Russ Tedrake

Obstacle avoidance for DMPs is still a challenging problem. In our previous work, we proposed a framework for obstacle avoidance based on superquadric potential functions to represent volumes. In this work, we extend our previous work to…

Robotics · Computer Science 2021-02-26 Michele Ginesi , Daniele Meli , Andrea Roberti , Nicola Sansonetto , Paolo Fiorini

Graph routing problems play a vital role in web-related networks, where finding optimal paths across graphs is essential for efficient data transmission and content delivery. Classic routing formulations such as the Traveling Salesman…

Machine Learning · Computer Science 2025-10-13 Shiyan Liu , Bohan Tan , Zhiguang Cao , Yan Jin

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

We present a modified velocity-obstacle (VO) algorithm that uses probabilistic partial observations of the environment to compute velocities and navigate a robot to a target. Our system uses commodity visual sensors, including a mono-camera…

Robotics · Computer Science 2021-06-10 Jing Liang , Yi-Ling Qiao , Tianrui Guan , Dinesh Manocha

In this work, we consider the problem of decentralized multi-robot target tracking and obstacle avoidance in dynamic environments. Each robot executes a local motion planning algorithm which is based on model predictive control (MPC). The…

Robotics · Computer Science 2019-09-04 Rahul Tallamraju , Sujit Rajappa , Michael Black , Kamalakar Karlapalem , Aamir Ahmad

In recent years, unmanned aerial vehicles (UAVs) are used for numerous inspection and video capture tasks. Manually controlling UAVs in the vicinity of obstacles is challenging, however, and poses a high risk of collisions. Even for…

Robotics · Computer Science 2022-08-12 Daniel Schleich , Sven Behnke

We consider stochastic strongly convex optimization with a complex inequality constraint. This complex inequality constraint may lead to computationally expensive projections in algorithmic iterations of the stochastic gradient…

Machine Learning · Computer Science 2016-05-25 Jianhui Chen , Tianbao Yang , Qihang Lin , Lijun Zhang , Yi Chang

In this paper, we address the problem of vision-based obstacle avoidance for robotic manipulators. This topic poses challenges for both perception and motion generation. While most work in the field aims at improving one of those aspects,…

Robotics · Computer Science 2020-11-02 Elie Aljalbout , Ji Chen , Konstantin Ritt , Maximilian Ulmer , Sami Haddadin

We present a novel approach to perform probabilistic collision detection between a high-DOF robot and high-DOF obstacles in dynamic, uncertain environments. In dynamic environments with a high-DOF robot and moving obstacles, our approach…

Robotics · Computer Science 2016-07-19 Chonhyon Park , Jae Sung Park , Dinesh Manocha

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

Optimization and Control · Mathematics 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

In this paper, we present an innovative risk-bounded motion planning methodology for stochastic multi-agent systems. For this methodology, the disturbance, noise, and model uncertainty are considered; and a velocity obstacle method is…

Robotics · Computer Science 2022-02-22 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Masayoshi Tomizuka , Tong Heng Lee

In machine learning, nonconvex optimization problems with multiple local optimums are often encountered. Graduated Optimization Algorithm (GOA) is a popular heuristic method to obtain global optimums of nonconvex problems through…

Machine Learning · Computer Science 2017-07-11 Li Chen , Shuisheng Zhou , Zhuan Zhang

Established techniques that enable robots to learn from demonstrations are based on learning a stable dynamical system (DS). To increase the robots' resilience to perturbations during tasks that involve static obstacle avoidance, we propose…

Trajectory optimization is the core of modern model-based robotic control and motion planning. Existing trajectory optimizers, based on sequential quadratic programming (SQP) or differential dynamic programming (DDP), are often limited by…

Robotics · Computer Science 2026-03-03 Haizhou Zhao , Ludovic Righetti , Majid Khadiv

This paper addresses the issue of motion planning in dynamic environments by extending the concept of Velocity Obstacle and Nonlinear Velocity Obstacle to Acceleration Obstacle AO and Nonlinear Acceleration Obstacle NAO. Similarly to VO and…

Robotics · Computer Science 2025-04-21 Asher Stern , Zvi Shiller

Obstacle avoidance is one of the essential and indispensable functions for autonomous mobile robots. Most of the existing solutions are typically based on single condition constraint and cannot incorporate sensor data in a real-time manner,…

Robotics · Computer Science 2020-07-02 Wei Chen , Jian Sun , Weishuo Li , Dapeng Zhao

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak