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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…

机器人学 · 计算机科学 2018-11-01 Mehdi Benallegue , Abdelaziz Benallegue , Yacine Chitour

The Generalized Super-Twisting Observer (GSTO) is extended for a strongly observable class of nonlinearly interconnected systems with bounded uncertainties/perturbations. A nonsmooth strong Lyapunov function is used to prove the finite-time…

系统与控制 · 电气工程与系统科学 2025-06-03 Rania Tafat , Jaime A. Moreno , Stefan Streif

This paper addresses the problem of simultaneous estimation of the position, linear velocity and orientation of a rigid body using single bearing measurements. We introduce a Riccati observer-based estimator that fuses measurements from a…

系统与控制 · 电气工程与系统科学 2024-03-20 Sifeddine Benahmed , Soulaimane Berkane

This paper addresses the problem of estimating the attitude and angular velocity of a rigid object by exploiting its second order kinematic model. The approach is particularly useful in cases where angular velocity measurements are not…

系统与控制 · 电气工程与系统科学 2021-04-15 Yonhon Ng , Pieter van Goor , Robert Mahony , Tarek Hamel

This paper considers the problem of attitude, position and linear velocity estimation for rigid body systems relying on landmark measurements. We propose two hybrid nonlinear observers on the matrix Lie group $SE_2(3)$, leading to global…

最优化与控制 · 数学 2020-05-15 Miaomiao Wang , Abdelhamid Tayebi

Constant biases associated to measured linear and angular velocities of a moving object can be estimated from measurements of a static scene by embedded brightness and depth sensors. We propose here a Lyapunov-based observer taking…

最优化与控制 · 数学 2013-09-10 Nadege Zarrouati-Vissiere , Karine Beauchard , Pierre Rouchon

This paper investigates the estimation problem of the pose (orientation and position) and linear velocity of a rigid body, as well as the landmark positions, using an inertial measurement unit (IMU) and a monocular camera. First, we propose…

系统与控制 · 电气工程与系统科学 2024-07-26 Miaomiao Wang , Abdelhamid Tayebi

This paper studies nonlinear observer design for rigid-body extended pose estimation using inertial measurements and generic exteroceptive sensing. The estimation problem is formulated as a cascade architecture that separates translational…

系统与控制 · 电气工程与系统科学 2026-02-10 Sifeddine Benahmed , Tarek Hamel , Soulaimane Berkane

The attitude tracking problem for a full-actuated rigid body in 3D is studied using a impulsive system model based on Lie algebra so(3). A nonlinear homogeneous controller is designed to globally track a smooth attitude trajectory in a…

系统与控制 · 电气工程与系统科学 2023-07-04 Yu Zhou , Andrey Polyakov , Gang Zheng

In this letter we show that although the application of standard Lyapunov analysis predicts that completely integrable Kepler motion is unstable, the geometrical analysis of Horwitz et al [1] predicts the observed stability. This seems to…

经典物理 · 物理学 2010-10-22 A. Yahalom , J. Levitan , M. Lewkowicz , L. Horwitz

A deterministic attitude estimation problem for a rigid body in an attitude dependent potential field with bounded measurement errors is studied. An attitude estimation scheme that does not use generalized coordinate representations of the…

最优化与控制 · 数学 2016-11-15 Taeyoung Lee , Amit K. Sanyal , Melvin Leok , N. Harris McClamroch

In this paper, we design a nonlinear observer to estimate the inertial pose and the velocity of a free-floating non-cooperative satellite (Target) using only relative pose measurements. In the context of control design for orbital robotic…

机器人学 · 计算机科学 2019-11-27 Hrishik Mishra , Marco De Stefano , Alessandro Massimo Giordano , Christian Ott

Nonlinear friction has long been, and continues to be, one of the major challenges for precision motion control systems. A linear asymptotic observer of the motion state variables with nonlinear friction uses a dedicated state-space…

系统与控制 · 电气工程与系统科学 2025-12-22 Michael Ruderman

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector…

最优化与控制 · 数学 2014-03-25 Iasson Karafyllis , Markos Papageorgiou

This paper proposes a novel unit-quaternion observer-based controller for attitude tracking (attitude and angular velocity) with guaranteed transient and steady-state performance. The proposed approach is computationally cheap and can…

系统与控制 · 电气工程与系统科学 2021-11-23 Hashim A. Hashim

This paper studies the use of vector Lyapunov functions for the design of globally stabilizing feedback laws for nonlinear systems. Recent results on vector Lyapunov functions are utilized. The main result of the paper shows that the…

最优化与控制 · 数学 2012-01-13 Iasson Karafyllis , Zhong-Ping Jiang

A global model is presented that can be used to study attitude maneuvers of a rigid spacecraft in a circular orbit about a large central body. The model includes gravity gradient effects that arise from the non-uniform gravity field and…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

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…

最优化与控制 · 数学 2020-02-25 Mehdi Benallegue , Abdelaziz Benallegue , Rafael Cisneros , Yacine Chitour

We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some…

最优化与控制 · 数学 2019-04-30 Pauline Bernard , Laurent Praly , Vincent Andrieu

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimation algorithm that globally minimizes the attitude estimation…

最优化与控制 · 数学 2007-05-23 Amit K. Sanyal , Taeyoung Lee , Melvin Leok , N. Harris McClamroch