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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

We propose globally exponentially convergent continuous observers for invariant kinematic systems on finite-dimensional matrix Lie groups. Such an observer estimates, from measurements of landmarks, vectors and biased velocity, both the…

Optimization and Control · Mathematics 2019-09-24 Dong Eui Chang

This paper introduces a new linear parameterization to the problem of visual inertial simultaneous localization and mapping (VI-SLAM) -- without any approximation -- for the case only using information from a single monocular camera and an…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Bowen Yi , Chi Jin , Lei Wang , Guodong Shi , Viorela Ila , Ian R. Manchester

Accurate inertial parameter identification is crucial for the simulation and control of robots encountering intermittent contact with the environment. Classically, robots' inertial parameters are obtained from CAD models that are not…

Robotics · Computer Science 2025-03-19 Shahram Khorshidi , Murad Dawood , Benno Nederkorn , Maren Bennewitz , Majid Khadiv

Multi-robot global localization (MR-GL) with unknown initial positions in a large scale environment is a challenging task. The key point is the data association between different robots' viewpoints. It also makes traditional…

Robotics · Computer Science 2024-09-10 Yaojie Zhang , Haowen Luo , Weijun Wang , Wei Feng

In this study, we address the challenge of disturbance estimation in legged robots by introducing a novel continuous-time online feedback-based disturbance observer that leverages measurable variables. The distinct feature of our observer…

Robotics · Computer Science 2025-03-04 Bolin Li , Peiyuan Cai , Gewei Zuo , Lijun Zhu , Han Ding

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

This paper presents three non-linear observers on three examples of engineering interest: a chemical reactor, a non-holonomic car, and an inertial navigation system. For each example, the design is based on physical symmetries. This…

Optimization and Control · Mathematics 2016-11-17 S. Bonnabel , Ph. Martin , P. Rouchon

This paper considers the problem of visual-inertial sensor fusion in the cooperative case and it provides new theoretical contributions, which regard its observability and its resolvability in closed form. The case of two agents is…

Robotics · Computer Science 2018-02-26 Agostino Martinelli

Fast appearance variations and the distractions of similar objects are two of the most challenging problems in visual object tracking. Unlike many existing trackers that focus on modeling only the target, in this work, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Bi Li , Chengquan Zhang , Zhibin Hong , Xu Tang , Jingtuo Liu , Junyu Han , Errui Ding , Wenyu Liu

Landmark Inertial Simultaneous Localisation and Mapping (LI-SLAM) is the problem of estimating the locations of landmarks in the environment and the robot's pose relative to those landmarks using landmark position measurements and…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Arkadeep Saha , Pieter van Goor , Antonio Franchi , Ravi Banavar

This article proposes a visual inertial navigation algorithm intended to diminish the horizontal position drift experienced by autonomous fixed wing UAVs (Unmanned Air Vehicles) in the absence of GNSS (Global Navigation Satellite System)…

Robotics · Computer Science 2023-08-17 Eduardo Gallo , Antonio Barrientos

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

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…

Optimization and Control · Mathematics 2013-09-10 Nadege Zarrouati-Vissiere , Karine Beauchard , Pierre Rouchon

Reasoning from diverse observations is a fundamental capability for generalist robot policies to operate in a wide range of environments. Despite recent advancements, many large-scale robotic policies still remain sensitive to key sources…

Robotics · Computer Science 2025-12-08 Jonathan Yang , Chelsea Finn , Dorsa Sadigh

In this paper we propose a novel observer to solve the problem of visual simultaneous localization and mapping (SLAM), only using the information from a single monocular camera and an inertial measurement unit (IMU). The system state…

Robotics · Computer Science 2021-12-22 Bowen Yi , Chi Jin , Lei Wang , Guodong Shi , Ian R. Manchester

This paper proposes a globally and exponentially convergent predictive observer for attitude and position estimation based on landmark measurements and velocity (angular and linear) readings. It is assumed that landmark measurements are…

Systems and Control · Computer Science 2016-05-02 Danial Senejohnny , Mehrzad Namvar

In various applications of land vehicle navigation and automatic guidance systems, Global Navigation Satellite System/Inertial Measurement Unit (GNSS/IMU) positioning performance crucially depends on the attitude determination accuracy…

Systems and Control · Computer Science 2015-05-27 Vasiliy M. Tereshkov

We propose a 12-dimensional, global, continuous, and exponentially convergent observer for gyro bias and attitude of a rigid body. Any attitude observer developed on the special orthogonal group suffers from the topological restriction that…

Optimization and Control · Mathematics 2019-09-24 Dong Eui Chang , Taeyoung Lee

We consider the problem of bearing-based visual homing: Given a mobile robot which can measure bearing directions with respect to known landmarks, the goal is to guide the robot toward a desired "home" location. We propose a control law…

Optimization and Control · Mathematics 2014-02-17 Roberto Tron , Kostas Daniilidis