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In order to solve continuous-time optimal control problems, direct methods transcribe the infinite-dimensional problem to a nonlinear program (NLP) using numerical integration methods. In cases where the integration error can be manipulated…

Optimization and Control · Mathematics 2025-03-18 Jakob Harzer , Jochem De Schutter , Moritz Diehl

We propose a novel approach for performing dynamical system identification, based upon the comparison of simulated and observed physical invariant measures. While standard methods adopt a Lagrangian perspective by directly treating…

Dynamical Systems · Mathematics 2025-02-11 Jonah Botvinick-Greenhouse

This paper proposes an adaptive tracking strategy with mass-inertia estimation for aerial transportation problems of multi-rotor UAVs. The dynamic model of multi-rotor UAVs with disturbances is firstly developed with a linearly…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Shuyang Shi , Yuzhu Li , Wei Dong

A new method is proposed to numerically integrate a dynamical system on a manifold such that the trajectory stably remains on the manifold and preserves first integrals of the system. The idea is that given an initial point in the manifold…

Numerical Analysis · Mathematics 2016-11-29 Dong Eui Chang , Fernando Jimenez , Matthew Perlmutter

In this study, we present a novel simultaneous localization and mapping (SLAM) system, VIMS, designed for underwater navigation. Conventional visual-inertial state estimators encounter significant practical challenges in perceptually…

Robotics · Computer Science 2025-06-19 Bingbing Zhang , Huan Yin , Shuo Liu , Fumin Zhang , Wen Xu

This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU,…

This paper concerns the estimation problem of attitude, position, and linear velocity of a rigid-body autonomously navigating with six degrees of freedom (6 DoF). The navigation dynamics are highly nonlinear and are modeled on the matrix…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Hashim A. Hashim , Mohammed Abouheaf , Mohammad A. Abido

Modern smartphones have all the sensing capabilities required for accurate and robust navigation and tracking. In specific environments some data streams may be absent, less reliable, or flat out wrong. In particular, the GNSS signal can…

Computer Vision and Pattern Recognition · Computer Science 2019-06-04 Santiago Cortés Reina , Yuxin Hou , Juho Kannala , Arno Solin

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

Anytime sampling-based methods are an attractive technique for solving kino-dynamic motion planning problems. These algorithms scale well to higher dimensions and can efficiently handle state and control constraints. However, an intelligent…

Robotics · Computer Science 2021-03-08 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

A monocular visual-inertial system (VINS), consisting of a camera and a low-cost inertial measurement unit (IMU), forms the minimum sensor suite for metric six degrees-of-freedom (DOF) state estimation. However, the lack of direct distance…

Robotics · Computer Science 2019-03-12 Tong Qin , Peiliang Li , Shaojie Shen

Due to the state trajectory-independent features of invariant Kalman filtering (InEKF), it has attracted widespread attention in the research community for its significantly improved state estimation accuracy and convergence under…

Robotics · Computer Science 2023-10-04 Xiaoyu Ye , Fujun Song , Zongyu Zhang , Rui Zhang , Qinghua Zeng

Inertial navigation applications are usually referenced to a rotating frame. Consideration of the navigation reference frame rotation in the inertial navigation algorithm design is an important but so far less seriously treated issue,…

Robotics · Computer Science 2013-04-10 Yuanxin Wu , Xianfei Pan

Snake robots offer exceptional mobility across extreme terrain inaccessible to conventional rovers, yet their highly articulated bodies present fundamental challenges for autonomous navigation in environments lacking external tracking…

Robotics · Computer Science 2025-12-16 Mohammed Irfan Ali

The numerical simulation of convection-dominated transient transport phenomena poses significant computational challenges due to sharp gradients and propagating fronts across the spatiotemporal domain. Classical discretization methods often…

Numerical Analysis · Mathematics 2026-03-04 Süleyman Cengizci , Ömür Uğur , Srinivasan Natesan

This paper improves visual-inertial systems to boost the localization accuracy for low-cost rescue robots. When robots traverse on rugged terrain, the performance of pose estimation suffers from big noise on the measurements of the inertial…

Robotics · Computer Science 2020-11-18 Xiaoling Long , Qingwen Xu , Yijun Yuan , Zhenpeng He , Sören Schwertfeger

In recent years, Onboard Self Localization (OSL) methods based on cameras or Lidar have achieved many significant progresses. However, some issues such as estimation drift and feature-dependence still remain inherent limitations. On the…

Robotics · Computer Science 2020-10-26 Thien-Minh Nguyen , Shenghai Yuan , Muqing Cao , Yang Lyu , Thien Hoang Nguyen , Lihua Xie

Physics-based computer models based on numerical solution of the governing equations generally cannot make rapid predictions, which in turn, limits their applications in the clinic. To address this issue, we developed a physics-informed…

Computational Engineering, Finance, and Science · Computer Science 2024-10-14 Ehsan Naghavi , Haifeng Wang , Lei Fan , Jenny S. Choy , Ghassan Kassab , Seungik Baek , Lik-Chuan Lee

A current-aided inertial navigation framework is proposed for small autonomous underwater vehicles in long-duration operations (> 1 hour), where neither frequent surfacing nor consistent bottom-tracking are available. We instantiate this…

Robotics · Computer Science 2017-10-17 Zhuoyuan Song , Kamran Mohseni

The integral method can be used to model accurately flows down an inclined plane. Such a method consists in projecting the full 3D equations on a lower dimensional representation. The vertical velocity profiles have their functional form…

Soft Condensed Matter · Physics 2007-05-23 A. Fourrière , P. Claudin , B. Andreotti
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