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Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

最优化与控制 · 数学 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

This article studies the time-optimal path planning problem for a convexified Reeds-Shepp (CRS) vehicle on a unit sphere, capable of both forward and backward motion, with speed bounded in magnitude by 1 and turning rate bounded in…

机器人学 · 计算机科学 2026-04-20 Sixu Li , Deepak Prakash Kumar , Swaroop Darbha , Yang Zhou

We present an implementation-oriented relativistic modeling framework for high-precision GNSS processing consistent with the IAU-adopted Barycentric and Geocentric Celestial Reference Systems (BCRS/GCRS) and their associated time scales…

广义相对论与量子宇宙学 · 物理学 2026-01-13 Slava G. Turyshev , Yoaz E. Bar-Sever , William I. Bertiger

For the cascaded planning and control modules implemented for robot navigation, the frequency gap between the planner and controller has received limited attention. In this study, we introduce a novel B-spline parameterized…

机器人学 · 计算机科学 2024-04-02 Chuyuan Tao , Sheng Cheng , Yang Zhao , Fanxin Wang , Naira Hovakimyan

A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

最优化与控制 · 数学 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

An interior-point algorithm framework is proposed, analyzed, and tested for solving nonlinearly constrained continuous optimization problems. The main setting of interest is when the objective and constraint functions may be nonlinear…

最优化与控制 · 数学 2024-08-30 Frank E. Curtis , Xin Jiang , Qi Wang

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

We propose an online iterative algorithm to optimize a convex cover to under-approximate the free space for autonomous navigation to delineate Safe Flight Corridors (SFC). The convex cover consists of a set of polytopes such that the union…

机器人学 · 计算机科学 2025-03-28 Yuwei Wu , Igor Spasojevic , Pratik Chaudhari , Vijay Kumar

This paper proposes a mechanism to fine-tune convex approximations of probabilistic reachable sets (PRS) of uncertain dynamic systems. We consider the case of unbounded uncertainties, for which it may be impossible to find a bounded…

机器人学 · 计算机科学 2024-02-06 Pengcheng Wu , Sonia Martinez , Jun Chen

Many robot planning tasks require satisfaction of one or more constraints throughout the entire trajectory. For geometric constraints, manifold-constrained motion planning algorithms are capable of planning collision-free path between start…

机器人学 · 计算机科学 2026-04-16 Shrutheesh R Iyer , I-Chia Chang , Andrew Z. Liu , Yan Gu , Zachary Kingston

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

最优化与控制 · 数学 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

Trajectory optimization methods provide an efficient and reliable means of computing feasible trajectories in nonconvex solution spaces. However, a well-known limitation of these algorithms is that they are inherently local in nature, and…

最优化与控制 · 数学 2025-11-19 Justin Ganiban , Natalia Pavlasek , Behcet Acikmese

In this work, we propose a control scheme for linear systems subject to pointwise in time state and input constraints that aims to minimize time-varying and a priori unknown cost functions. The proposed controller is based on online convex…

系统与控制 · 电气工程与系统科学 2024-12-02 Marko Nonhoff , Johannes Köhler , Matthias A. Müller

This paper addresses the optimal covariance steering problem for stochastic discrete-time linear systems subject to probabilistic state and control constraints. A method is presented for efficiently attaining the exact solution of the…

系统与控制 · 电气工程与系统科学 2023-10-06 George Rapakoulias , Panagiotis Tsiotras

In this work, we study discrete-time Markov decision processes (MDPs) under constraints with Borel state and action spaces and where all the performance functions have the same form of the expected total reward (ETR) criterion over the…

概率论 · 数学 2019-05-10 F. Dufour , Alexandre Genadot

Semidefinite programming (SDP) provides a principled framework for convex relaxations of nonconvex geometric constraints in motion planning, yet existing solvers are too computationally expensive for real-time control, particularly on…

We present a fast trajectory optimization algorithm for the soft capture of uncooperative tumbling space objects. Our algorithm generates safe, dynamically feasible, and minimum-fuel trajectories for a six-degree-of-freedom servicing…

机器人学 · 计算机科学 2024-05-03 Ibrahima Sory Sow , Geordan Gutow , Howie Choset , Zachary Manchester

We present a nonlinear model predictive control (MPC) scheme for tracking of dynamic target signals. The scheme combines stabilization and dynamic trajectory planning in one layer, thus ensuring constraint satisfaction irrespective of…

系统与控制 · 电气工程与系统科学 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

A sequential quadratic programming (SQP) algorithm is designed for nonsmooth optimization problems with upper-C^2 objective functions. Upper-C^2 functions are locally equivalent to difference-of-convex (DC) functions with smooth convex…

最优化与控制 · 数学 2023-10-31 Jingyi Wang , Cosmin G. Petra

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

机器人学 · 计算机科学 2017-10-24 Meng Guo , Michael M. Zavlanos
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