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Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow. The goal of this article is to provide a comprehensive tutorial of three major convex optimization-based trajectory…

Optimization and Control · Mathematics 2021-06-18 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Thomas Lew , Riccardo Bonalli , Marco Pavone , Behcet Acikmese

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

Time-optimal control of a multi-rotor remains an open problem due to the under-actuation and nonlinearity of its dynamics, which make it difficult to solve this problem directly. In this paper, the time-optimal control problem of the…

Robotics · Computer Science 2024-01-12 Guangyu Zhang , Yongjie Zheng , Yuqing He , Liying Yang , Hongyu Nie , Chaoxiong Huang , Yiwen Zhao

The convergence of many numerical optimization techniques is highly dependent on the initial guess given to the solver. To address this issue, we propose a novel approach that utilizes tensor methods to initialize existing optimization…

Robotics · Computer Science 2023-11-23 Suhan Shetty , Teguh Lembono , Tobias Loew , Sylvain Calinon

We consider the problem of an autonomous agent equipped with multiple sensors, each with different sensing precision and energy costs. The agent's goal is to explore the environment and gather information subject to its resource constraints…

Robotics · Computer Science 2024-04-30 Joshua Ott , Edward Balaban , Mykel Kochenderfer

A conceptual design of a launch vehicle involves the optimization of trajectory and stages considering its launch operations. This process encompasses various disciplines, such as structural design, aerodynamics, propulsion systems, flight…

Optimization and Control · Mathematics 2024-08-02 Jaeyoul Ko , Jaewoo Kim , Jimin Choi , Jaemyung Ahn

Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

Neural and Evolutionary Computing · Computer Science 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

This paper studies optimal motion planning subject to motion and environment uncertainties. By modeling the system as a probabilistic labeled Markov decision process (PL-MDP), the control objective is to synthesize a finite-memory policy,…

Robotics · Computer Science 2022-01-03 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

While the Pontryagin Maximum Principle can be used to calculate candidate extremals for optimal orbital transfer problems, these candidates cannot be guaranteed to be at least locally optimal unless sufficient optimality conditions are…

Optimization and Control · Mathematics 2016-06-08 Zheng Chen

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

Gateway will represent a primary logistic infrastructure in cislunar space. The identification of efficient orbit transfers capable of connecting Earth, Moon, and Gateway paves the way for enabling refurbishment, servicing, and utilization…

Optimization and Control · Mathematics 2024-12-06 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

High dynamic jump motions are challenging tasks for humanoid robots to achieve environment adaptation and obstacle crossing. The trajectory optimization is a practical method to achieve high-dynamic and explosive jumping. This paper…

Robotics · Computer Science 2025-04-08 Haoxiang Qi , Zhangguo Yu , Xuechao Chen , Yaliang Liu , Chuanku Yi , Chencheng Dong , Fei Meng , Qiang Huang

The general problem of planning feasible trajectories for multimodal robots is still an open challenge. This paper presents a whole-body trajectory optimisation approach that addresses this challenge by combining methods and tools developed…

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

We present a novel probabilistic approach for optimal path experimental design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and trajectories are modeled as random variables governed by a…

Optimization and Control · Mathematics 2026-01-19 Ahmed Attia

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

Optimization and Control · Mathematics 2014-04-21 Xuchao Lin , Christos G. Cassandras

We present a trajectory-based optimization framework for arrival sequencing and scheduling in the terminal maneuvering area (TMA). Unlike node-link scheduling models that reduce trajectories to time-delay variables, the proposed method…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Yutian Pang , Daniel Delahaye , John-Paul Clarke

This paper presents a continuous optimization approach to DCOC and its application to spacecraft high-precision attitude control. The approach computes a control input sequence that maximizes the time-before-exit by solving a nonlinear…

Optimization and Control · Mathematics 2021-12-23 Sunbochen Tang , Nan Li , Robert A. E. Zidek , Ilya Kolmanovsky

Generating locally optimal UAV-trajectories is challenging due to the non-convex constraints of collision avoidance and actuation limits. We present the first local, optimization-based UAV-trajectory generator that simultaneously guarantees…

Robotics · Computer Science 2021-05-11 Ruiqi Ni , Teseo Schneider , Daniele Panozzo , Zherong Pan , Xifeng Gao