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This paper addresses the problem of Visual-Inertial Odometry (VIO) for rigid body systems evolving in three-dimensional space. We introduce a novel matrix Lie group structure, denoted SE_{3+n}(3), that unifies the pose, gravity, linear…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Mouaad Boughellaba , Abdelhamid Tayebi , James R. Forbes , Soulaimane Berkane

This article proposes an active-learning-based adaptive trajectory tracking control method for autonomous ground vehicles to compensate for modeling errors and unmodeled dynamics. The nominal vehicle model is decoupled into lateral and…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Kristóf Floch , Tamás Péni , Roland Tóth

In this paper, we extend the popular integral control technique to systems evolving on Lie groups. More explicitly, we provide an alternative definition of "integral action" for proportional(-derivative)-controlled systems whose…

Systems and Control · Computer Science 2015-02-06 Zhifei Zhang , Alain Sarlette , Zhihao Ling

In this article, a brief description of Discrete Mechanics and Variational Integrators which preserve the symplectic structure of the flow will be provided and a Newton-Raphson algorithm that can be used to solve implicit equations on the…

Numerical Analysis · Mathematics 2022-01-04 Nikhil Potu Surya Prakash

Tracking the full skeletal pose of the hands and fingers is a challenging problem that has a plethora of applications for user interaction. Existing techniques either require wearable hardware, add restrictions to user pose, or require…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Stan Melax , Leonid Keselman , Sterling Orsten

This article concerns the development of the Vector Field Orientation - Active Disturbance Rejection (VFO-ADR) cascaded path-following controller for underactuated vehicles moving in a 3-dimensional space. The proposed concept of a cascaded…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Krzysztof Łakomy , Maciej Marcin Michałek

A novel tracking paradigm for flying geometric trajectories using tethered kites is presented. It is shown how the differential-geometric notion of turning angle can be used as a one-dimensional representation of the kite trajectory, and…

Optimization and Control · Mathematics 2011-07-18 Jorn H. Baayen , Wubbo J. Ockels

Fully actuated multirotor platforms decouple translational force generation from vehicle attitude, enabling independent control of position and orientation and shifting performance limitations from attitude authority to actuator dynamics…

Robotics · Computer Science 2026-05-13 Ali Sidar Yilmaz , Buday Turan , Lukas Pries , Markus Ryll

Modeling the rotation of moving objects is a fundamental task in computer vision, yet $SO(3)$ extrapolation still presents numerous challenges: (1) unknown quantities such as the moment of inertia complicate dynamics, (2) the presence of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Lennart Bastian , Mohammad Rashed , Nassir Navab , Tolga Birdal

This paper presents a novel nonlinear pose filter evolved directly on the Special Euclidean Group SE(3) with guaranteed characteristics of transient and steady-state performance. The above-mention characteristics can be achieved by trapping…

Optimization and Control · Mathematics 2020-02-14 Hashim A. Hashim , Lyndon J. Brown , Kenneth McIsaac

This paper develops a new quasi-static modeling framework for tracked robots based on the power dissipation method. Given a set of track speeds, this method predicts the vehicle's instantaneous rigid body motion. We introduce three specific…

Robotics · Computer Science 2020-11-05 Anushri Dixit , Joel Burdick

In this paper, a novel adaptive tuning method of PID neural network (PIDNN) controller for nonlinear process is proposed. The method utilizes an improved gradient descent method to adjust PIDNN parameters where the margin stability will be…

Systems and Control · Computer Science 2015-12-24 Ali Zribi , Mohamed Chtourou , Mohamed Djemel

This work focuses on pose-following, a variant of path-following in which the goal is to steer the system's position and attitude along a path with a moving frame attached to it. Full body motion control, while accounting for the additional…

Robotics · Computer Science 2023-12-18 Jon Arrizabalaga , Markus Ryll

In this paper, we present a novel cascade control structure with formal guarantees of uniform almost global asymptotic stability for the state tracking error dynamics of a quadcopter. The proposed approach features a model predictive…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Maedeh Izadi , A. T. J. R. Cobbenhagen , Ruben Sommer , A. R. P. Andriën , Erjen Lefeber , W. P. M. H. Heemels

This paper introduces an advanced Lyapunov stability analysis for an attitude observer that has been developed on the special orthogonal group. In particular, when the attitude observer is constructed based on multiple direction…

Optimization and Control · Mathematics 2019-03-12 Kanishke Gamagedara , Taeyoung Lee , Dong Eui Chang

Visual pose tracking is playing an increasingly vital role in industrial contexts in recent years. However, the pose tracking for industrial metal objects remains a challenging task especially in the real world-environments, due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Chentao Shen , Ding Pan , Mingyu Mei , Zaixing He , Xinyue Zhao

The design of an invariant tracking control law for the kinematic car driving on a sphere is discussed. Using a Lie group framework a left-invariant description on SO(3) is derived. Basic geometric considerations allow a direct comparison…

Optimization and Control · Mathematics 2012-03-20 Carsten Collon , Joachim Rudolph

Proportional-Integral-Derivative (PID) scheme is the most commonly used algorithm for designing the controllers for unmanned aerial vehicles (UAVs). However, tuning PID gains is a non trivial task. A number of methods have been developed…

Systems and Control · Electrical Eng. & Systems 2020-04-01 Sunsoo Kim , Vedang Deshpande , Raktim Bhattacharya

This paper investigates the control of nonlinear systems using a piecewise linear approximation framework. The proposed approach combines a PID controller with locally linearized models obtained by partitioning the nonlinear function into…

Optimization and Control · Mathematics 2026-04-14 Robert Vrabel

This paper presents a novel decentralized approach for achieving emergent behavior in multi-agent systems with minimal information sharing. Based on prior work in simple orbits, our method produces a broad class of stable, periodic…

Robotics · Computer Science 2025-11-17 Dimitria Silveria , Kleber Cabral , Peter Jardine , Sidney Givigi
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