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In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

Optimization and Control · Mathematics 2024-10-04 Hao Hao , Peter Zhang

We describe a new temporal verification framework for safety and robustness analysis of nonlinear control laws, our target application being a space launcher vehicle. Robustness analysis, formulated as a nonconvex nonlinear optimization…

Optimization and Control · Mathematics 2012-05-11 Didier Henrion , Martine Ganet-Schoeller , Samir Bennani

This paper presents a search-based partial motion planner to generate dynamically feasible trajectories for car-like robots in highly dynamic environments. The planner searches for smooth, safe, and near-time-optimal trajectories by…

Robotics · Computer Science 2020-11-10 Jiahui Lin , Tong Zhou , Delong Zhu , Jianbang Liu , Max Q. -H. Meng

As predictive models are increasingly being deployed in high-stakes decision making (e.g., loan approvals), there has been growing interest in post hoc techniques which provide recourse to affected individuals. These techniques generate…

Machine Learning · Computer Science 2021-07-14 Sohini Upadhyay , Shalmali Joshi , Himabindu Lakkaraju

With the development of robotics, ground robots are no longer limited to planar motion. Passive height variation due to complex terrain and active height control provided by special structures on robots require a more general navigation…

Robotics · Computer Science 2023-02-08 Jingping Wang , Long Xu , Haoran Fu , Zehui Meng , Chao Xu , Yanjun Cao , Ximin Lyu , Fei Gao

This paper considers a trajectory planning problem for a robot navigating complex terrains, which arises in applications ranging from autonomous mining vehicles to planetary rovers. The problem seeks to find a low-cost dynamically feasible…

Robotics · Computer Science 2024-07-04 Yilin Cai , Zhongqiang Ren

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and…

Optimization and Control · Mathematics 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

This paper describes a novel approach to planning which takes advantage of decision theory to greatly improve robustness in an uncertain environment. We present an algorithm which computes conditional plans of maximum expected utility. This…

Artificial Intelligence · Computer Science 2013-02-28 Stephen G. Pimentel , Lawrence M. Brem

This study presents a fast nonlinear programming algorithm for low-thrust multi-asteroid rendezvous missions. The core contribution is the derivation of analytical formulations for both first- and second-order gradients of low-thrust…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 An-Yi Huang , Ya-Zhong Luo

MPC (Model predictive control)-based motion planning and trajectory generation are essential in applications such as unmanned aerial vehicles, robotic manipulators, and rocket control. However, the real-time implementation of such…

Robotics · Computer Science 2025-11-11 Haotian Tan , Yuan-Hua Ni

Generating obstacle-free trajectories for robotic manipulators in unstructured and cluttered environments remains a significant challenge. Existing motion planning methods often require additional computational effort to generate the final…

Robotics · Computer Science 2025-09-23 Yongliang Wang , Hamidreza Kasaei

Path Planning and target searching in a three-dimensional environment is a challenging task in the field of robotics. It is an optimization problem as the path from source to destination has to be optimal. This paper aims to generate a…

Artificial Intelligence · Computer Science 2019-11-07 Devansh Verma , Priyansh Saxena , Ritu Tiwari

A robust positioning pattern is a large array that allows a mobile device to locate its position by reading a possibly corrupted small window around it. In this paper, we provide constructions of binary positioning patterns, equipped with…

Information Theory · Computer Science 2020-01-01 Yeow Meng Chee , Duc Tu Dao , Han Mao Kiah , San Ling , Hengjia Wei

In this paper, we present a bi-level optimal control framework for designing low-thrust spacecraft trajectories with robustness against missed-thrust-events. The upper-level (UL) problem generates a nominal trajectory assuming full control…

Optimization and Control · Mathematics 2025-12-23 Amlan Sinha , Ryne Beeson

In this paper, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our approach first employs a graph-based multi-agent path planner…

Robotics · Computer Science 2021-01-29 Juncheng Li , Maopeng Ran , Lihua Xie

Recent focus on robustness to adversarial attacks for deep neural networks produced a large variety of algorithms for training robust models. Most of the effective algorithms involve solving the min-max optimization problem for training…

Machine Learning · Computer Science 2021-03-03 Yasaman Esfandiari , Aditya Balu , Keivan Ebrahimi , Umesh Vaidya , Nicola Elia , Soumik Sarkar

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

Long-distance driving is an important component of planetary surface exploration. Unforeseen events often require human operators to adjust mobility plans, but this approach does not scale and will be insufficient for future missions.…

Robotics · Computer Science 2024-12-31 Olivier Lamarre , Jonathan Kelly

Deploying large, complex space structures is of great interest to the modern scientific world as it can provide new capabilities in obtaining scientific, communicative, and observational information. However, many theoretical mission…

Robotics · Computer Science 2020-08-10 Bryce Doerr , Richard Linares