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A time-optimal problem for redundantly actuated robots moving on a specified path is a challenging problem. Although the problem is well explored and there are proposed solutions based on phase plane analysis, there are still several…

Optimization and Control · Mathematics 2018-08-03 Saeed Mansouri , Mohammad Jafar Sadigh , Masoud Fazeli

In this paper, we propose a self-triggered algorithm to solve a class of convex optimization problems with time-varying objective functions. It is known that the trajectory of the optimal solution can be asymptotically tracked by a…

Optimization and Control · Mathematics 2016-03-30 Mahyar Fazlyab , Cameron Nowzari , George J. Pappas , Alejandro Ribeiro , Victor M. Preciado

We present Constrained Stein Variational Trajectory Optimization (CSVTO), an algorithm for performing trajectory optimization with constraints on a set of trajectories in parallel. We frame constrained trajectory optimization as a novel…

Robotics · Computer Science 2024-07-24 Thomas Power , Dmitry Berenson

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 An-yi Huang , Heng-nian Li

This paper proposes a novel, more computationally efficient method for optimizing robot excitation trajectories for dynamic parameter identification, emphasizing self-collision avoidance. This addresses the system identification challenges…

Many robotics applications, from object manipulation to locomotion, require planning methods that are capable of handling the dynamics of contact. Trajectory optimization has been shown to be a viable approach that can be made to support…

Robotics · Computer Science 2019-09-09 Benoit Landry , Joseph Lorenzetti , Zachary Manchester , Marco Pavone

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

A popular way to plan trajectories in dynamic urban scenarios for Autonomous Vehicles is to rely on explicitly specified and hand crafted cost functions, coupled with random sampling in the trajectory space to find the minimum cost…

Robotics · Computer Science 2022-10-14 Shubhankar Agarwal , Harshit Sikchi , Cole Gulino , Eric Wilkinson , Shivam Gautam

This paper considers the problem of computing an optimal trajectory for an autonomous system that is subject to a set of potentially conflicting rules. First, we introduce the concept of prioritized safety specifications, where each rule is…

Robotics · Computer Science 2020-09-28 Tichakorn Wongpiromsarn , Konstantin Slutsky , Emilio Frazzoli , Ufuk Topcu

In order to enable Micro-Aerial Vehicles (MAVs) to assist in complex, unknown, unstructured environments, they must be able to navigate with guaranteed safety, even when faced with a cluttered environment they have no prior knowledge of.…

Robotics · Computer Science 2018-03-13 Helen Oleynikova , Zachary Taylor , Roland Siegwart , Juan Nieto

A method to compute optimal collision avoidance maneuvers for short-term encounters is presented. The maneuvers are modeled as multiple-impulses to handle impulsive cases and to approximate finite burn arcs associated either with short…

Optimization and Control · Mathematics 2021-06-10 Roberto Armellin

This paper presents a new method for integrated time-optimal routing and trajectory optimization of multirotor unmanned aerial vehicles (UAVs). Our approach extends the well-known Traveling Salesman Problem by accounting for the limited…

Robotics · Computer Science 2022-12-01 Fabian Meyer , Katharina Glock

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

In this paper, we tackle the problem of trajectory planning and control of a vehicle under locally varying traction limitations, in the presence of suddenly appearing obstacles. We employ concepts from adaptive model predictive control for…

Robotics · Computer Science 2019-12-11 Lars Svensson , Monimoy Bujarbaruah , Nitin Kapania , Martin Törngren

Vehicle trajectory optimization is essential to ensure vehicles travel efficiently and safely. This paper presents an infrastructure assisted constrained connected automated vehicles (CAVs) trajectory optimization method on curved roads.…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Ran Yi , Yang Zhou , Xin Wang , Zhiyuan Liu , Xiaotian Li , Bin Ran

Time-jerk optimal trajectory planning is crucial in advancing robotic arms' performance in dynamic tasks. Traditional methods rely on solving complex nonlinear programming problems, bringing significant delays in generating optimized…

Robotics · Computer Science 2024-03-27 Beibei Zhang , Tian Xiang , Chentao Mao , Yuhua Zheng , Shuai Li , Haoyi Niu , Xiangming Xi , Wenyuan Bai , Feng Gao

This paper addresses the advancements in on-road trajectory planning for Autonomous Passenger Vehicles (APV). Trajectory planning aims to produce a globally optimal route for APVs, considering various factors such as vehicle dynamics,…

Robotics · Computer Science 2023-09-27 Hanxiang Li , Jiaqiao Zhang , Sheng Zhu , Dongjian Tang , Donghao Xu

In this paper, a real-time quasi-optimal trajectory planning scheme is employed to guide an autonomous underwater vehicle (AUV) safely into a funnel-shape stationary docking station. By taking advantage of the direct method of calculus of…

Robotics · Computer Science 2016-05-04 Amir Mehdi Yazdani , Karl Sammut , Andrew Lammas , Youhong Tang

Time-optimal trajectories drive quadrotors to their dynamic limits, but computing such trajectories involves solving non-convex problems via iterative nonlinear optimization, making them prohibitively costly for real-time applications. In…

Robotics · Computer Science 2025-06-18 Katherine Mao , Hongzhan Yu , Ruipeng Zhang , Igor Spasojevic , M Ani Hsieh , Sicun Gao , Vijay Kumar

Non-linear Trajectory Optimisation (TO) methods require good initial guesses to converge to a locally optimal solution. A feasible guess can often be obtained by allocating a large amount of time for the trajectory to complete. However for…

Robotics · Computer Science 2022-03-16 Steve Tonneau