English
Related papers

Related papers: Lyapunov-Stable Orientation Estimator for Humanoid…

200 papers

We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function. Additionally, we introduce linear matrix inequalities (LMIs) to verify the necessary incremental input/output-to-state stability…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Julian D. Schiller , Simon Muntwiler , Johannes Köhler , Melanie N. Zeilinger , Matthias A. Müller

Lyapunov stability of a mechanical system means that the dynamic response stays bounded in an arbitrarily small neighborhood of a static equilibrium configuration under small perturbations in positions and velocities. This type of stability…

Systems and Control · Computer Science 2016-08-10 Péter L. Várkonyi , Yizhar Or

Algorithms for state estimation of humanoid robots usually assume that the feet remain flat and in a constant position while in contact with the ground. However, this hypothesis is easily violated while walking, especially for human-like…

The paper proposes the stable motion control law design method for non-honomic differential-drive mobile robot with system and measurement noise in discrete time domain. This method is performed basing on dividing operating configuration of…

Robotics · Computer Science 2020-05-14 Thi Thanh Van Nguyen , Manh Duong Phung , Quang Vinh Tran

This paper addresses the problem of estimating the relative pose (position and orientation) and velocity of a vehicle with respect to a moving target, where both are equipped with Inertial Measurement Units (IMUs), assuming the availability…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alessandro Melis , Tarek Bouazza , Soulaimane Berkane , Tarek Hamel

Gaze stabilization is an important requisite for humanoid robots. Previous work on this topic has focused on the integration of inertial and visual information. Little attention has been given to a third component, which is the knowledge…

Robotics · Computer Science 2016-11-18 Alessandro Roncone , Ugo Pattacini , Giorgio Metta , Lorenzo Natale

This paper presents a model-based balance stabilization system which takes into account not only the stable part of COM dynamics but also the unstable part. In this system, the overall dynamics of a humanoid robot is approximated using a…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

Achieving stable and robust perceptive locomotion for bipedal robots in unstructured outdoor environments remains a critical challenge due to complex terrain geometry and susceptibility to external disturbances. In this work, we propose a…

Robotics · Computer Science 2025-10-21 Haokai Su , Haoxiang Luo , Shunpeng Yang , Kaiwen Jiang , Wei Zhang , Hua Chen

To build commercial robots, skid-steering mechanical design is of increased popularity due to its manufacturing simplicity and unique mechanism. However, these also cause significant challenges on software and algorithm design, especially…

Robotics · Computer Science 2022-10-27 Xingxing Zuo , Mingming Zhang , Mengmeng Wang , Yiming Chen , Guoquan Huang , Yong Liu , Mingyang Li

Reliable odometry for legged robots without cameras or LiDAR remains challenging due to IMU drift and noisy joint velocity sensing. This paper presents a purely proprioceptive state estimator that uses only IMU and motor measurements to…

Robotics · Computer Science 2026-02-23 Minxing Sun , Yao Mao

This work presents methods for the determination of a humanoid robot's joint velocities and accelerations directly from link-mounted Inertial Measurement Units (IMUs) each containing a three-axis gyroscope and a three-axis accelerometer. No…

Robotics · Computer Science 2016-02-17 Nicholas Rotella , Sean Mason , Stefan Schaal , Ludovic Righetti

This paper addresses the problem of estimating the attitude of a rigid body, which is subject to high accelerations and equipped with inertial measurement unit (IMU) and sensors providing the body velocity (expressed in the reference frame…

Optimization and Control · Mathematics 2020-02-25 Mehdi Benallegue , Abdelaziz Benallegue , Rafael Cisneros , Yacine Chitour

The paper presents a new observer for tilt estimation of a 3-D non-rigid pendulum. The system can be seen as a multibody robot attached to the environment with a ball joint. There is no sensor for the joint position of the sensor. The…

Robotics · Computer Science 2018-11-01 Mehdi Benallegue , Abdelaziz Benallegue , Yacine Chitour

We consider the classical problem of estimating the attitude and gyro biases of a rigid body from vector measurements and a triaxial rate gyro. We propose a simple "geometry-free" nonlinear observer with guaranteed uniform global asymptotic…

Optimization and Control · Mathematics 2016-11-09 Philippe Martin , Ioannis Sarras

Since batch algorithms suffer from lack of proficiency in confronting model mismatches and disturbances, this contribution proposes an adaptive scheme based on continuous Lyapunov function for online robot dynamic identification. This paper…

Robotics · Computer Science 2022-10-28 Pedram Agand , Mahdi Aliyari Shoorehdeli

In order to make robots more useful in a variety of environments, they need to be highly portable so that they can be transported to wherever they are needed, and highly storable so that they can be stored when not in use. We propose…

Robotics · Computer Science 2024-10-22 Hiroya Sato , Tasuku Makabe , Iori Yanokura , Naoya Yamaguchi , Kei Okada , Masayuki Inaba

We present a new Lyapunov-based switching attitude controller for energy-efficient real-time selection of the torque inputted to an uncrewed aerial vehicle (UAV) during flight. The proposed method, using quaternions to describe the attitude…

Systems and Control · Electrical Eng. & Systems 2024-11-04 Francisco M. F. R. Gonçalves , Ryan M. Bena , Néstor O. Pérez-Arancibia

This paper investigates the problem of attitude and air velocity estimation for fixed-wing unmanned aerial vehicles (UAVs) using IMU measurements and at least one Pitot tube measurement, with almost global asymptotic stability (AGAS)…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Melone Nyoba Tchonkeu , Soulaimane Berkane , Tarek Hamel

Stability certificates play a critical role in ensuring the safety and reliability of robotic systems. However, deriving these certificates for complex, unknown systems has traditionally required explicit knowledge of system dynamics, often…

Robotics · Computer Science 2025-10-06 Zhe Shen

Two nonlinear observers for velocity-aided attitude estimation, relying on gyrometers, accelerometers, magnetometers, and velocity measured in the body-fixed frame, are proposed. As opposed to state-of-the-art body-fixed velocity-aided…

Optimization and Control · Mathematics 2014-11-17 Minh-Duc Hua , Philippe Martin , Tarek Hamel