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相关论文: Observer-based data assimilation for barotropic ga…

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The flow of gas through networks of pipes can be modeled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edges of the graph of the network by algebraic node conditions…

偏微分方程分析 · 数学 2023-03-01 Martin Gugat , Jan Giesselmann , Teresa Kunkel

We consider a state estimation problem for gas flows in pipeline networks where hydrogen is blended into the natural gas. The flow is modeled by the quasi-linear isothermal Euler equations coupled to an advection equation on a graph. The…

偏微分方程分析 · 数学 2023-04-18 Martin Gugat , Jan Giesselmann

We study the convergence of a discrete Luenberger observer for the barotropic Euler equations in one dimension, for measurements of the velocity only. We use a mixed finite element method in space and implicit Euler integration in time. We…

数值分析 · 数学 2026-03-13 Aidan Chaumet , Jan Giesselmann

We consider the problem of distributed state estimation of a linear time-invariant (LTI) system by a network of sensors. We develop a distributed observer that guarantees asymptotic reconstruction of the state for the most general class of…

系统与控制 · 计算机科学 2017-04-27 Aritra Mitra , Shreyas Sundaram

We consider the simulation of barotropic flow of gas in long pipes and pipe networks. Based on a Hamiltonian reformulation of the governing system, a fully discrete approximation scheme is proposed using mixed finite elements in space and…

数值分析 · 数学 2023-03-01 H. Egger , J. Giesselmann , T. Kunkel , N. Philippi

In this note, we study Luenberger-type full-state observers for nonlinear systems using contraction theory. We show that if the matrix measure of a suitably defined Jacobian matrix constructed from the dynamics of the system-observer…

系统与控制 · 计算机科学 2017-11-16 Samuel Coogan , Murat Arcak

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

We consider the discretization of a semilinear damped wave equation arising, for instance, in the modeling of gas transport in pipeline networks. For time invariant boundary data, the solutions of the problem are shown to converge…

数值分析 · 数学 2018-12-11 Herbert Egger , Thomas Kugler , Björn Liljegren-Sailer

A novel approach to solve the problem of distributed state estimation of linear time-invariant systems is proposed in this paper. It relies on the application of parameter estimation-based observers, where the state observation task is…

系统与控制 · 电气工程与系统科学 2020-05-28 Romeo Ortega , Emmanuel Nuño , Alexei Bobtsov

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…

系统与控制 · 电气工程与系统科学 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

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 paper deals with the observer design problem for time-varying linear infinite-dimensional systems. We address both the problem of online estimation of the state of the system from the output via an asymptotic observer, and the problem…

最优化与控制 · 数学 2020-11-20 Lucas Brivadis , Vincent Andrieu , Ulysse Serres , Jean-Paul Gauthier

We study state estimation for nonlinear differential-algebraic systems, where the nonlinearity satisfies a Lipschitz condition or a generalized monotonicity condition or a combination of these. The presented observer design unifies earlier…

最优化与控制 · 数学 2019-10-10 Thomas Berger , Lukas Lanza

We formulate two estimation problems for pipeline systems in which measurements of compressible gas flow through a network of pipes is affected by time-varying injections, withdrawals, and compression. We consider a state estimation problem…

系统与控制 · 计算机科学 2018-07-30 Kaarthik Sundar , Anatoly Zlotnik

The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the…

最优化与控制 · 数学 2024-07-09 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

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…

动力系统 · 数学 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

We consider a multi-dimensional model of a compressible fluid in a bounded domain. We want to estimate the density and velocity of the fluid, based on the observations for only velocity. We build an observer exploiting the symmetries of the…

最优化与控制 · 数学 2016-11-24 Amit Apte , Didier Auroux , Mythily Ramaswamy

We investigate the stabilisation of nominally linear-affine switched systems with uncertain Lipschitz nonlinearities under dwell-time constraints, using a sampled-data switching law based on a state observer. We design the switching law…

最优化与控制 · 数学 2026-04-29 Rami Katz , Antonio Russo , Gian Paolo Incremona , Patrizio Colaneri , Giulia Giordano

This paper deals with the state estimation of linear time-invariant systems using distributed observers with local sampled-data measurement and aperiodic communication. Each observer agent perceives partial information of the system to be…

系统与控制 · 电气工程与系统科学 2024-06-11 Shimin Wang , Ya-Jun Pan , Martin Guay

We address the problem of retrieving the full state of a network of R\"ossler systems from the knowledge of the actual state of a limited set of nodes. The selection of the nodes where sensors are placed is carried out in a hierarchical way…

混沌动力学 · 物理学 2022-03-16 Irene Sendiña-Nadal , Christophe Letellier
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