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Related papers: On Deterministic Attitude Observers on the Special…

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The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a…

Dynamical Systems · Mathematics 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

Camera motion estimation from observed scene features is an important task in image processing to increase the accuracy of many methods, e.g. optical flow and structure-from-motion. Due to the curved geometry of the state space SE(3) and…

Optimization and Control · Mathematics 2015-07-27 Johannes Berger , Frank Lenzen , Florian Becker , Andreas Neufeld , Christoph Schnörr

Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

Optimization and Control · Mathematics 2011-10-13 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

Data assimilation (DA) provides a general framework for estimation in dynamical systems based on the concepts of Bayesian inference. This constitutes a common basis for the different linear and nonlinear filtering and smoothing techniques…

Optimization and Control · Mathematics 2023-03-08 Tarek Diaa-Eldeen , Marcus Krogh Nielsen , Carl Fredrik Berg , Morten Hovd , John Bagterp Jørgensen

Control systems are inevitably affected by external disturbances, and a major objective of the control design is to attenuate or eliminate their adverse effects on the system performance. This paper presents a disturbance rejection approach…

Systems and Control · Electrical Eng. & Systems 2020-07-30 Zhitao Li , Amin Vahidi-Moghaddam , Hamidreza Modares , Jinsheng Sun

This paper provides an exponential stability result for the adaptive anti-unwinding attitude tracking control problem of a rigid body with uncertain but constant inertia parameters, without requiring the satisfaction of persistent…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Xiaodong Shao , Qinglei Hu , Daochun Li , Yang Shi , Bowen Yi

This paper presents the first sufficient conditions that guarantee the stability and almost sure convergence of multi-timescale stochastic approximation (SA) iterates. It extends the existing results on one-timescale and two-timescale SA…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Rohan Deb , Swetha Ganesh , Shalabh Bhatnagar

We analyze the observability of motion estimates from the fusion of visual and inertial sensors. Because the model contains unknown parameters, such as sensor biases, the problem is usually cast as a mixed identification/filtering, and the…

Robotics · Computer Science 2015-04-28 Joshua Hernandez , Konstantine Tsotsos , Stefano Soatto

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…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Michael Ruderman

This paper presents a novel approach to the problem of almost global attitude stabilization. The reduced attitude is steered along a geodesic path on the n-sphere. Meanwhile, the full attitude is stabilized on SO(n). This action,…

Optimization and Control · Mathematics 2017-02-21 Johan Markdahl , Jens Hoppe , Lin Wang , Xiaoming Hu

Accurate knowledge of the state variables in a dynamical system is critical for effective control, diagnosis, and supervision, especially when direct measurements of all states are infeasible. This paper presents a novel approach to…

Dynamical Systems · Mathematics 2025-07-10 Ayoub Farkane , Mohamed Boutayeb , Mustapha Oudani , Mounir Ghogho

A residual-based a posteriori error estimator is proposed for the incompressible Oseen problem in the convection-dominated regime. The SUPG/PSPG/grad-div stabilized finite element method is used as discretization. The error estimator…

Numerical Analysis · Mathematics 2026-04-28 Muhammad Afzal , Naveed Ahmed , Volker John

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

In this paper we give a geometrical framework for the design of observers on finite-dimensional Lie groups for systems which possess some specific symmetries. The design and the error (between true and estimated state) equation are explicit…

Optimization and Control · Mathematics 2016-11-15 S. Bonnabel , P. Martin , P. Rouchon

We here adapt an extended version of the adaptive cubic regularisation method with dynamic inexact Hessian information for nonconvex optimisation in [3] to the stochastic optimisation setting. While exact function evaluations are still…

Numerical Analysis · Mathematics 2020-09-15 Stefania Bellavia , Gianmarco Gurioli

In this paper we propose a detectability condition for nonlinear continuous-time systems with irregular/infrequent output measurements, namely a sample-based version of incremental integral input/output-to-state stability (i-iIOSS). We…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

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…

Robotics · Computer Science 2019-11-27 Hrishik Mishra , Marco De Stefano , Alessandro Massimo Giordano , Christian Ott

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

The growing prevalence of nonsmooth optimization problems in machine learning has spurred significant interest in generalized smoothness assumptions. Among these, the (L0, L1)-smoothness assumption has emerged as one of the most prominent.…

Optimization and Control · Mathematics 2026-02-24 Zhirayr Tovmasyan , Grigory Malinovsky , Laurent Condat , Peter Richtárik

A new result on stability of an optimal nonlinear filter with respect to small perturbations on every step is established.

Probability · Mathematics 2016-11-01 Marina Kleptsyna , Alexander Veretennikov