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The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kalman filter, are posed on Euclidean space. Although any…

Systems and Control · Electrical Eng. & Systems 2023-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

We propose a new algorithm for an adaptive optics system control law, based on the Linear Quadratic Gaussian approach and a Kalman Filter adaptation with localizations. It allows to handle non-stationary behaviors, to obtain performance…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Morgan Gray , Cyril Petit , Sergey Rodionov , Marc Bocquet , Laurent Bertino , Marc Ferrari , Thierry Fusco

With the advancement of affordable self-driving vehicles using complicated nonlinear optimization but limited computation resources, computation time becomes a matter of concern. Other factors such as actuator dynamics and actuator command…

Robotics · Computer Science 2023-10-18 Dvij Kalaria , Qin Lin , John M. Dolan

This paper is concerned with optimality and stability analysis of a family of ensemble Kalman filter (EnKF) algorithms. EnKF is commonly used as an alternative to the Kalman filter for high-dimensional problems, where storing the covariance…

Optimization and Control · Mathematics 2022-02-22 Amirhossein Taghvaei , Prashant G. Mehta , Tryphon T. Georgiou

Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

Applications · Statistics 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

This paper studies the optimal state estimation for a dynamic system, whose transfer function can be nonlinear and the input noise can be of arbitrary distribution. Our algorithm differs from the conventional extended Kalman filter (EKF)…

Signal Processing · Electrical Eng. & Systems 2022-04-22 Xin Liang , Yi Jiang

In this article, we present a new scheme that approximates unknown sensorimotor models of robots by using feedback signals only. The formulation of the uncalibrated sensor-based regulation problem is first formulated, then, we develop a…

Robotics · Computer Science 2020-07-07 David Navarro-Alarcon , Jiaming Qi , Jihong Zhu , Andrea Cherubini

Tag population estimation has recently attracted significant research attention due to its paramount importance on a variety of radio frequency identification (RFID) applications. However, most, if not all, of existing estimation mechanisms…

Systems and Control · Computer Science 2015-11-30 Jihong Yu , Lin Chen

The inherent approximation ability of neural networks plays an essential role in adaptive neural control, where the prerequisite for existence of the compact set is crucial in the control designs. Instead of using practical system state, in…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Mingxuan Sun , Shengxiang Zou

Aiming to enhance the consistency and thus long-term accuracy of Extended Kalman Filters for terrestrial vehicle localization, this paper introduces the Manifold Error State Extended Kalman Filter (M-ESEKF). By representing the robot's pose…

While LiDAR and cameras are becoming ubiquitous for unmanned aerial vehicles (UAVs) but can be ineffective in challenging environments, 4D millimeter-wave (MMW) radars that can provide robust 3D ranging and Doppler velocity measurements are…

Robotics · Computer Science 2025-02-24 Jinwen Zhu , Jun Hu , Xudong Zhao , Xiaoming Lang , Yinian Mao , Guoquan Huang

Robotic laparoscopic grasper is a surgical tool with minimal invasion. In this robot, achieve goals like precise tracking, stability and disturbance rejection are very important. In this paper, first the stages of modeling and simulating of…

Systems and Control · Electrical Eng. & Systems 2020-08-20 AA. Ghavifekr , MA Badamchizadeh , G Alizadeh , A Arjmandi

This paper presents a -- Learning from Demonstration -- method to perform robot movement trajectories that can be defined as you go. This way unstructured tasks can be performed, without the need to know exactly all the tasks and start and…

Robotics · Computer Science 2020-10-16 Luis Trucios , Mahdi Tavakoli , Kim Adams

This paper proposes an adaptive modular geometric control framework for robotic manipulators. The proposed methodology decomposes the overall manipulator dynamics into individual modules, enabling the design of local geometric control laws…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Mahdi Hejrati , Amir Hossein Barjini , Gokhan Alcan , Jouni Mattila

Vision-aided localization for low-cost mobile robots in diverse environments has attracted widespread attention recently. Although many current systems are applicable in daytime environments, nocturnal visual localization is still an open…

Robotics · Computer Science 2024-03-05 Tianxiao Gao , Mingle Zhao , Chengzhong Xu , Hui Kong

This paper deals with the Tobit Kalman filtering (TKF) process when the measurements are correlated and censored. The case of interval censoring, i.e., the case of measurements which belong to some interval with given censoring limits, is…

Signal Processing · Electrical Eng. & Systems 2019-11-15 Kostas Loumponias , Nicholas Vretos , George Tsaklidis , Petros Daras

Kalman Filter (KF) is widely used in various domains to perform sequential learning or variable estimation. In the context of autonomous vehicles, KF constitutes the core component of many Advanced Driver Assistance Systems (ADAS), such as…

Robotics · Computer Science 2020-12-17 Yuzhe Ma , Jon Sharp , Ruizhe Wang , Earlence Fernandes , Xiaojin Zhu

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

Machine Learning · Statistics 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

Two central problems in modern control theory are the controller design problem: which deals with designing a control law for the dynamical system, and the state estimation problem (observer design problem): which deals with computing an…

Optimization and Control · Mathematics 2023-08-31 Midhun T. Augustine