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It is quite often claimed, and correctly so, that linear methods cannot achieve global stability results for attitude control, and conversely that nonlinear control is essential in order to achieve (almost) globally stable tracking of…

Optimization and Control · Mathematics 2026-05-26 Yujendra Mitikiri

This paper presents solutions to the following two common quaternion attitude estimation problems: (i) estimation of attitude using measurement of two reference vectors, and (ii) estimation of attitude using rate measurement and measurement…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Yujendra Mitikiri , Kamran Mohseni

Accurate and robust attitude estimation is a central challenge for autonomous vehicles operating in GNSS-denied or highly dynamic environments. In such cases, Inertial Measurement Units (IMUs) alone are insufficient for reliable tilt…

Robotics · Computer Science 2025-09-18 Méloné Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

This paper proposes new algorithms for attitude estimation and control based on fused inertial vector measurements using linear complementary filters principle. First, n-order direct and passive complementary filters combined with TRIAD…

Optimization and Control · Mathematics 2015-03-11 L. Benziane , A. El Hadri , A. Seba , A. Benallegue , Y. Chitour

Conventional Feedback-Linearization-based controller, applied to the tilt-rotor (eight inputs), results in the extensive changes in the tilting angles, which are not expected in practice. To solve this problem, we introduce the novel…

Robotics · Computer Science 2022-02-14 Zhe Shen , Takeshi Tsuchiya

This paper proposes a novel quaternion-based approach for tracking the translation (position and linear velocity) and rotation (attitude and angular velocity) trajectories of underactuated Unmanned Aerial Vehicles (UAVs). Quadrotor UAVs are…

Robotics · Computer Science 2024-08-01 Arezo Shevidi , Hashim A. Hashim

This paper addresses the distributed attitude synchronization problem for a network of rigid-body systems on the special orthogonal group SO(3). Each agent measures, in its body frame, its own angular velocity and a set of vectors whose…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Mouaad Boughellaba , Soulaimane Berkane , Abdelhamid Tayebi

The attitude of a rigid body evolves on the three-dimensional special orthogonal group, and it is often estimated by measuring reference directions, such as gravity or magnetic field, using an onboard sensor. As a single direction…

Optimization and Control · Mathematics 2021-07-01 Weixin Wang , Kanishke Gamagedara , Taeyoung Lee

The paper addresses the problem of attitude estimation for rigid bodies using (possibly time-varying) vector measurements, for which we provide a necessary and sufficient condition of distinguishability. Such a condition is shown to be…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Bowen Yi , Lei Wang , Ian R. Manchester

Vision is an essential part of attitude control for many flying animals, some of which have no dedicated sense of gravity. Flying robots, on the other hand, typically depend heavily on accelerometers and gyroscopes for attitude…

Robotics · Computer Science 2025-07-16 Jesse J. Hagenaars , Stein Stroobants , Sander M. Bohte , Guido C. H. E. De Croon

The paper develops a singularity-free backstepping-based adaptive control for stabilizing and tracking the trajectory of a bicopter system. In the bicopter system, the inertial parameters parameterize the input map. Since the classical…

Optimization and Control · Mathematics 2024-10-07 Jhon Manuel Portella Delgado , Ankit Goel

Monocular visual-inertial odometry (VIO) cannot recover metric scale from vision alone; scale must be resolved through inertial measurements. We present a trajectory-dependent observability analysis showing that translational acceleration,…

Robotics · Computer Science 2026-03-31 Hadush Hailu , Bruk Gebregziabher

Existing approaches to robust global asymptotic stabilization of a pair of antipodal points on unit $n$-sphere $\mathbb{S}^n$ typically involve the non-centrally synergistic hybrid controllers for attitude tracking on unit quaternion space.…

Systems and Control · Electrical Eng. & Systems 2024-03-08 Xin Tong , Shing Shin Cheng

In this work feedback control laws are designed for achieving three-axis attitude stabilization of inertial pointing spacecraft using only magnetic torquers. The designs are based on an almost periodic model of geomagnetic field along the…

Optimization and Control · Mathematics 2015-06-23 Fabio Celani

In this paper, we analyze the orientation estimation problem using inertial measurement units. Many estimation algorithms suffer degraded performance when accelerations other than gravity affect the accelerometer. We show that linear…

Systems and Control · Electrical Eng. & Systems 2025-08-08 Felix Brändle , David Meister , Marc Seidel , Robin Strässer , Frank Allgöwer

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known reference point at each measurement instant. The measurement cannot…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch , Amit K. Sanyal

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act under a gravitational potential and under a structured control…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

This paper presents a new geometric adaptive control system with state inequality constraints for the attitude dynamics of a rigid body. The control system is designed such that the desired attitude is asymptotically stabilized, while the…

Optimization and Control · Mathematics 2016-02-16 Shankar Kulumani , Christopher Poole , Taeyoung Lee

This paper presents a cascaded control architecture, based on nonlinear dynamic inversion (NDI), for rigid body attitude control. The proposed controller works directly with the rotation matrix parameterization, that is, with elements of…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Hafiz Zeeshan Iqbal Khan , Farooq Aslam , Muhammad Farooq Haydar , Jamshed Riaz

We present a model-predictive control (MPC) framework for legged robots that avoids the singularities associated with common three-parameter attitude representations like Euler angles during large-angle rotations. Our method parameterizes…

Robotics · Computer Science 2024-09-18 Zixin Zhang , John Z. Zhang , Shuo Yang , Zachary Manchester