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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…

系统与控制 · 计算机科学 2015-10-20 Axel Barrau , Silvère Bonnabel

In various applications in the field of control engineering the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching…

系统与控制 · 电气工程与系统科学 2022-04-08 Helmut Niederwieser , Markus Tranninger , Richard Seeber , Markus Reichhartinger

This paper focuses on observer based fault reconstruction for a class of nonlinear uncertain systems with Lipschitz nonlinearities. An adaptive-gain Super-Twisting (STW) observer is developed for observing the system states, where the…

最优化与控制 · 数学 2013-03-26 Jianxing Liu , Salah Laghrouche , Maxime Wack

In this paper we propose a new observer design technique for nonlinear systems. It combines the well-known Kazantzis-Kravaris-Luenberger observer and the recently introduced parameter estimation-based observer, which become special cases of…

系统与控制 · 计算机科学 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

This work proposes a method for model-free synthesis of a state observer for nonlinear systems with manipulated inputs, where the observer is trained offline using a historical or simulation dataset of state measurements. We use the…

系统与控制 · 电气工程与系统科学 2026-04-20 Moritz Woelk , Jarod Morris , Wentao Tang

Relying on recent research results on Neural ODEs, this paper presents a methodology for the design of state observers for nonlinear systems based on Neural ODEs, learning Luenberger-like observers and their nonlinear extension…

系统与控制 · 电气工程与系统科学 2023-05-18 Keyan Miao , Konstantinos Gatsis

This paper derives for non-linear, time-varying and feedback linearizable systems simple controller designs to achieve specified state-and timedependent complex convergence rates. This approach can be regarded as a general gain-scheduling…

混沌动力学 · 物理学 2010-04-20 Winfried Lohmiller , Jean-Jacques E. Slotine

This paper proposes a linear input-output observer design methodology for a population of systems in which each observer uses knowledge of the linear time-invariant dynamics of the particular device. Observers are typically composed of a…

系统与控制 · 电气工程与系统科学 2025-09-10 Timothy Everett Adams , James Richard Forbes

The problem of state estimation for a system of coupled hyperbolic PDEs and ODEs with Lipschitz nonlinearities with boundary measurements is considered. An infinite dimensional observer with a linear boundary injection term is used to solve…

系统与控制 · 电气工程与系统科学 2021-01-19 Francesco Ferrante , Andrea Cristofaro

In the paper we consider the linear inverse problem that consists in recovering the initial state in a first order evolution equation generated by a skew-adjoint operator. We studied the well-posedness of the inversion in terms of the…

偏微分方程分析 · 数学 2018-12-20 Kaïs Ammari , Faouzi Triki

This paper presents a low-dimensional observer design for stable, single-input single-output, continuous-time linear time-invariant (LTI) systems. Leveraging the model reduction by moment matching technique, we approximate the system with a…

系统与控制 · 电气工程与系统科学 2025-08-04 M. F. Shakib , M. Khalil , R. Postoyan

In this paper, we consider the problem of designing an asymptotic observer for a nonlin-ear dynamical system in discrete-time following Luenberger's original idea. This approach is a two-step design procedure. In a first step, the problem…

最优化与控制 · 数学 2020-02-10 Lucas Brivadis , Vincent Andrieu , Ulysse Serres

In this paper, we propose the $K$-Shot Contrastive Learning (KSCL) of visual features by applying multiple augmentations to investigate the sample variations within individual instances. It aims to combine the advantages of inter-instance…

计算机视觉与模式识别 · 计算机科学 2021-05-18 Haohang Xu , Hongkai Xiong , Guo-Jun Qi

Linear observed systems on groups encode the geometry of a variety of practical state estimation problems. In this paper, we propose an observer framework for a class of linear observed systems by restricting a bi-invariant system on a Lie…

系统与控制 · 电气工程与系统科学 2026-03-31 Changwu Liu , Yuan Shen

In this paper, we introduce a new sliding mode observer for Lur'e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard range of observation. Traditionally, most of Luenberger-like…

最优化与控制 · 数学 2024-04-26 Samir Adly , Jun Huang , Ba Khiet Le

This paper presents a new observer design approach for linear time invariant multivariable systems subject to unknown inputs. The design is based on a transformation to the so-called special coordinate basis. This form reveals important…

系统与控制 · 电气工程与系统科学 2021-11-30 Markus Tranninger , Helmut Niederwieser , Richard Seeber , Martin Horn

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…

最优化与控制 · 数学 2016-11-15 S. Bonnabel , P. Martin , P. Rouchon

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [15]. Based on the concept of observers (also called Luenberger observers), this…

数值分析 · 数学 2010-08-30 Ghislain Haine , Karim Ramdani

We present a general framework to study uniqueness, stability and reconstruction for infinite-dimensional inverse problems when only a finite-dimensional approximation of the measurements is available. For a large class of inverse problems…

偏微分方程分析 · 数学 2021-11-10 Giovanni S. Alberti , Matteo Santacesaria

In this paper, a new method of H_infinity observer design for Lipschitz nonlinear systems is proposed in the form of an LMI optimization problem. The proposed observer has guaranteed decay rate (exponential convergence) and is robust…

系统与控制 · 计算机科学 2010-10-06 Masoud Abbaszadeh , Horacio J. Marquez