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Localization using a single range anchor combined with onboard optical-inertial odometry offers a lightweight solution that provides multidimensional measurements for the positioning of unmanned aerial vehicles. Unfortunately, the…

Robotics · Computer Science 2025-07-15 Kaiwen Xiong , Sijia Chen , Wei Dong

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

This paper addresses the synthesis of an optimal fixed-gain distributed observer for discrete-time linear systems over wireless sensor networks. The proposed approach targets the steady-state estimation regime and computes fixed observer…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Francisco Rego

A set of N independent Gaussian linear time invariant systems is observed by M sensors whose task is to provide the best possible steady-state causal minimum mean square estimate of the state of the systems, in addition to minimizing a…

Optimization and Control · Mathematics 2008-10-30 Jerome Le Ny , Eric Feron , Munther A. Dahleh

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

The Koopman operator approach to the state estimation problem for nonlinear systems is a promising research area. The main goal of this paper is an attempt to provide a rigorous theoretical framework for this approach. In particular, the…

Optimization and Control · Mathematics 2025-03-12 Judicaël Mohet , Alexandre Mauroy , Joseph J. Winkin

Steer-by-Wire systems replace mechanical linkages, which provide benefits like weight reduction, design flexibility, and compatibility with autonomous driving. However, they are susceptible to high-frequency disturbances from unintentional…

Robotics · Computer Science 2025-12-30 Nikolai Beving , Jonas Marxen , Steffen Mueller , Johannes Betz

This paper presents Lidar-based Simultaneous Localization and Mapping (SLAM) for autonomous driving vehicles. Fusing data from landmark sensors and a strap-down Inertial Measurement Unit (IMU) in an adaptive Kalman filter (KF) plus the…

Robotics · Computer Science 2022-08-26 Farhad Aghili

When robots are able to see and respond to their surroundings, a whole new world of possibilities opens up. To bring these possibilities to life, the robotics industry is increasingly adopting camera-based vision systems, especially when a…

Robotics · Computer Science 2023-11-10 Michele Ambrosino , Manar Mahmalji , Nicolás Bono Rosselló , Emanuele Garone

The knowledge of the states of a vehicle is a necessity to perform proper planning and control. These quantities are usually accessible through measurements. Control theory brings extremely useful methods -- observers -- to deal with…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Philip Polack , Arnaud de La Fortelle

We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuous-time systems with discrete observations. One of the main…

Systems and Control · Computer Science 2015-10-20 Axel Barrau , Silvère Bonnabel

This paper considers the Linear Minimum Variance recursive state estimation for the linear discrete time dynamic system with random state transition and measurement matrices, i.e., random parameter matrices Kalman filtering. It is shown…

Information Theory · Computer Science 2007-07-13 Dandan Luo , Yunmin Zhu

We look at a stochastic time-varying optimization problem and we formulate online algorithms to find and track its optimizers in expectation. The algorithms are derived from the intuition that standard prediction and correction steps can be…

Optimization and Control · Mathematics 2024-04-11 Andrea Simonetto , Paolo Massioni

In this paper, adaptive prescribed finite time stabilization of uncertain single-input and single-output nonlinear systems is considered in the presence of unknown states, unknown parameters, external load disturbance, and non-symmetric…

Systems and Control · Electrical Eng. & Systems 2020-12-03 Amin Vahidi-Moghaddam , Arman Rajaei , Moosa Ayati , Ramin Vatankhah , Mohammad Reza Hairi-Yazdi

In the present paper we consider controllability and observability of second order linear time invariant systems in matrix form. Without reducing into first order systems we show how the classical conditions for first order linear systems…

Optimization and Control · Mathematics 2019-06-18 Elimhan N. Mahmudov

Robust estimation of vehicle sideslip angle is essential for stability control applications. However, the direct measurement of sideslip angle is expensive for production vehicles. This paper presents a novel sideslip estimation algorithm…

Optimization and Control · Mathematics 2019-05-23 Yi-Wen Liao , Francesco Borrelli

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Ioannis Raptis

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

This work aims to present a three-dimensional vehicle dynamics state estimation under varying signal quality. Few researchers have investigated the impact of three-dimensional road geometries on the state estimation and, thus, neglect road…

Robotics · Computer Science 2025-01-30 Sven Goblirsch , Marcel Weinmann , Johannes Betz

Ill-posed inverse problems are ubiquitous in applications. Under- standing of algorithms for their solution has been greatly enhanced by a deep understanding of the linear inverse problem. In the applied communities ensemble-based filtering…

Statistics Theory · Mathematics 2015-12-08 Marco A. Iglesias , Kui Lin , Shuai Lu , Andrew M. Stuart