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We investigate the use of a point cloud measurement in terrain-aided navigation. Our goal is to aid an inertial navigation system, by exploring ways to generate a useful measurement innovation error for effective nonlinear state estimation.…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Abdülbaki Şanlan , Fatih Erol , Murad Abu-Khalaf , Emre Koyuncu

Recently, the progress in the radar sensing technology consisting in the miniaturization of the packages and increase in measuring precision has drawn the interest of the robotics research community. Indeed, a crucial task enabling autonomy…

Robotics · Computer Science 2026-02-05 Jan Michalczyk

Robust aiding of inertial navigation systems in GNSS-denied environments is critical for the removal of accumulated navigation error caused by the drift and bias inherent in inertial sensors. One way to perform such an aiding uses matching…

Robotics · Computer Science 2022-04-01 Xuezhi Wang , Christopher Gilliam , Allison Kealy , John Close , Bill Moran

Autonomous vehicles and wheeled robots are widely used in many applications in both indoor and outdoor settings. In practical situations with limited GNSS signals or degraded lighting conditions, the navigation solution may rely only on…

Robotics · Computer Science 2026-03-17 Dusan Nemec , Gal Versano , Itai Savin , Vojtech Simak , Juraj Kekelak , Itzik Klein

Consistent localization of cooperative multi-robot systems during navigation presents substantial challenges. This paper proposes a fault-tolerant, multi-modal localization framework for multi-robot systems on matrix Lie groups. We…

Robotics · Computer Science 2025-05-05 Mahboubeh Zarei , Robin Chhabra

This paper proposes two novel nonlinear attitude filters evolved directly on the Special Orthogonal Group SO(3) able to ensure prescribed measures of transient and steady-state performance. The tracking performance of the normalized…

Optimization and Control · Mathematics 2019-01-24 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

We study a trajectory-planning problem whose solution path evolves by means of a Lie group action and passes near a designated set of target positions at particular times. This is a higher-order variational problem in optimal control,…

Dynamical Systems · Mathematics 2014-03-05 Christopher L. Burnett , Darryl D. Holm , David M. Meier

Tracking on the rotation group is a key component of many modern systems for estimation of the motion of rigid bodies. To address this problem, here we describe a Bayesian algorithm that relies on directional measurements for tracking on…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Sofia Suvorova , Stephen D. Howard , Bill Moran

Euclidean deep learning is often inadequate for addressing real-world signals where the representation space is irregular and curved with complex topologies. Interpreting the geometric properties of such feature spaces has become paramount…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Ramzan Basheer , Deepak Mishra

When robots operate in unknown environments small errors in postions can lead to large variations in the contact forces, especially with typical high-impedance designs. This can potentially damage the surroundings and/or the robot. Series…

Systems and Control · Computer Science 2020-10-12 Nathan Banka , W. Tony Piaskowy , Joseph Garbini , Santosh Devasia

Rigid body dynamics on the rotation group have typically been represented in terms of rotation matrices, unit quaternions, or local coordinates, such as Euler angles. Due to the coordinate singularities associated with local coordinate…

Numerical Analysis · Mathematics 2017-05-15 Xuefeng Shen , Melvin Leok

In this work we solve the position-aided 3D navigation problem using a nonlinear estimation scheme. More precisely, we propose a nonlinear observer to estimate the full state of the vehicle (position, velocity, orientation and gyro bias)…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Soulaimane Berkane , Abdelhamid Tayebi

In this paper we give a geometrical framework for the design of observers on finite-dimensional Lie groups for systems which possess some specific symmetries. The design and the error (between true and estimated state) equation are explicit…

Optimization and Control · Mathematics 2016-11-15 S. Bonnabel , P. Martin , P. Rouchon

In underwater navigation systems, strap-down inertial navigation system/Doppler velocity log (SINS/DVL)-based loosely coupled architectures are widely adopted. Conventional approaches project DVL velocities from the body coordinate system…

Robotics · Computer Science 2026-01-28 Jin Huang , Zichen Liu , Haoda Li , Zhikun Wang , Ying Chen

This paper presents a fully data-driven control framework for autonomous underwater vehicles (AUVs) based on Data-Enabled Predictive Control (DeePC). The approach eliminates the need for explicit hydrodynamic modeling by exploiting measured…

Systems and Control · Electrical Eng. & Systems 2026-01-23 Sebastian Zieglmeier , Mathias Hudoba de Badyn , Narada D. Warakagoda , Thomas R. Krogstad , Paal Engelstad

We study control systems invariant under a Lie group with application to the problem of nonlinear trajectory planning. A theory of symmetry reduction of exterior differential systems is employed to demonstrate how symmetry reduction and…

Differential Geometry · Mathematics 2015-10-21 Jose De Dona , Naghmana Tehseen , Peter J Vassiliou

In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We discuss some applications of the construction in…

Quantum Physics · Physics 2007-05-23 J. Guerrero , V. I. Manko , G. Marmo , A. Simoni

Traditional indoor robot navigation methods provide a reliable solution when adapted to constrained scenarios, but lack flexibility or require manual re-tuning when deployed in more complex settings. In contrast, learning-based approaches…

Robotics · Computer Science 2025-07-08 Nigitha Selvaraj , Alex Mitrevski , Sebastian Houben

Object-relative mobile robot navigation is essential for a variety of tasks, e.g. autonomous critical infrastructure inspection, but requires the capability to extract semantic information about the objects of interest from raw sensory…

Robotics · Computer Science 2024-10-28 Thomas Jantos , Martin Scheiber , Christian Brommer , Eren Allak , Stephan Weiss , Jan Steinbrener

Deep reinforcement learning (RL) has been successfully applied to a variety of game-like environments. However, the application of deep RL to visual navigation with realistic environments is a challenging task. We propose a novel learning…

Robotics · Computer Science 2019-11-12 Jonáš Kulhánek , Erik Derner , Tim de Bruin , Robert Babuška
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