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Many applications involve humans in the loop, where continuous and accurate human motion monitoring provides valuable information for safe and intuitive human-machine interaction. Portable devices such as inertial measurement units (IMUs)…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Xiaobing Dai , Huanzhuo Wu , Siyi Wang , Junjie Jiao , Giang T. Nguyen , Frank H. P. Fitzek , Sandra Hirche

It is known that invariance and equivariance properties for systems on Lie groups can be exploited in the design of high performance and robust observers and filters for real-world robotic systems. This paper proposes an analysis framework…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Robert Mahony , Jochen Trumpf

This work addresses the critical lack of precision in state estimation in the Kalman filter for 3D multi-object tracking (MOT) and the ongoing challenge of selecting the appropriate motion model. Existing literature commonly relies on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mohamed Nagy , Naoufel Werghi , Bilal Hassan , Jorge Dias , Majid Khonji

This paper develops a geometric framework for invariant filtering of relative dynamics on Lie groups. We first revisit the notion of state trajectory independence, under which the estimation error evolves autonomously, and derive new…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Tejaswi K. C. , Maneesha Wickramasuriya , Silvere Bonnabel , Axel Barrau , Taeyoung Lee

Many data-science problems can be formulated as an inverse problem, where the parameters are estimated by minimizing a proper loss function. When complicated black-box models are involved, derivative-free optimization tools are often…

Numerical Analysis · Mathematics 2021-10-19 Neil K. Chada , Xin T. Tong

In this paper, we consider the collaborative attitude estimation problem for a multi-agent system. The agents are equipped with sensors that provide directional measurements and relative attitude measurements. We present a bottom-up…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Yixiao Ge , Behzad Zamani , Pieter van Goor , Jochen Trumpf , Robert Mahony

Intelligent vehicles in autonomous driving and obstacle avoidance, the precise relative state of vehicles put forward a higher demand. For a vehicle-borne sensor network with time-varying transmission delays, the problem of coordinate…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Hang Yu , Keren Dai , Haojie Li , Yao Zou , Xiang Ma , Shaojie Ma , He Zhang

In this paper we propose a novel observer-based method to improve the safety and security of connected and automated vehicle (CAV) transportation. The proposed method combines model-based signal filtering and anomaly detection methods.…

Signal Processing · Electrical Eng. & Systems 2021-02-26 Yiyang Wang , Neda Masoud , Anahita Khojandi

Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture the underlying dynamics of complex structural systems. In…

Machine Learning · Computer Science 2023-07-04 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

Robust and accurate proprioceptive state estimation of the main body is crucial for legged robots to execute tasks in extreme environments where exteroceptive sensors, such as LiDARs and cameras, may become unreliable. In this paper, we…

Robotics · Computer Science 2025-07-29 Yibin Wu , Jian Kuang , Shahram Khorshidi , Xiaoji Niu , Lasse Klingbeil , Maren Bennewitz , Heiner Kuhlmann

In real-world applications the Perspective-n-Point (PnP) problem should generally be applied in a sequence of images which a set of drift-prone features are tracked over time. In this paper, we consider both the temporal dependency of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Mohammad Amin Mehralian , Mohsen Soryani

Accurate estimation of the dynamic states of a synchronous machine (e.g., rotor s angle and speed) is essential in monitoring and controlling transient stability of a power system. It is well known that the covariance matrixes of process…

Systems and Control · Computer Science 2017-02-06 Shahrokh Akhlaghi , Ning Zhou , Zhenyu Huang

This paper studies the problem of distributed state estimation (DSE) over sensor networks on matrix Lie groups, which is crucial for applications where system states evolve on Lie groups rather than vector spaces. We propose a…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Zhian Ruan , Yizhi Zhou

Our goal is to send legged robots into challenging, unstructured terrains that wheeled systems cannot traverse. Moreover, precise estimation of the robot's position and orientation in rough terrain is especially difficult. To address this…

Systems and Control · Electrical Eng. & Systems 2019-11-14 Shuo Yang , Hans Kumar , Zhaoyuan Gu , Xiangyuan Zhang , Matthew Travers , Howie Choset

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

Robotics · Computer Science 2026-03-31 Batu Candan , Simone Servadio

Inertial Measurement Units (IMUs) enable portable, multibody motion capture (MoCap) in diverse environments beyond the laboratory, making them a practical choice for diagnosing mobility disorders and supporting rehabilitation in clinical or…

Robotics · Computer Science 2025-05-14 Hassan Osman , Daan de Kanter , Jelle Boelens , Manon Kok , Ajay Seth

Existing state estimation algorithms for legged robots that rely on proprioceptive sensors often overlook foot slippage and leg deformation in the physical world, leading to large estimation errors. To address this limitation, we propose a…

Robotics · Computer Science 2024-11-19 Tianyi Zhang , Wenhan Cao , Chang Liu , Tao Zhang , Jiangtao Li , Shengbo Eben Li

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

In this study, we address multi-robot localization issues, with a specific focus on cooperative localization and observability analysis of relative pose estimation. Cooperative localization involves enhancing each robot's information…

Robotics · Computer Science 2024-02-06 Kihoon Shin , Hyunjae Sim , Seungwon Nam , Yonghee Kim , Jae Hu , Kwang-Ki K. Kim

Extended Kalman filter (EKF) does not guarantee consistent mean and covariance under linearization, even though it is the main framework for robotic localization. While Lie group improves the modeling of the state space in localization, the…

Robotics · Computer Science 2019-01-28 Tsang-Kai Chang , Shengkang Chen , Ankur Mehta