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This paper studies a network of observers for a distributed estimation problem, where each observer assesses a portion of output of a given LTI system. The goal of each observer is to compute a state estimate that asymptotically converges…

最优化与控制 · 数学 2012-03-19 Shinkyu Park , Nuno C. Martins

This note investigates the distributed estimation problem for continuous-time linear time-invariant (LTI) systems observed by a network of observers. Each observer in the network has access to only part of the output of the observed system,…

最优化与控制 · 数学 2017-08-07 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

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

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

系统与控制 · 电气工程与系统科学 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

Although an appropriate choice of measured state variables may ensure observability, designing state observers for the state estimation of epidemic models remains a challenging task. Epidemic spread is a nonlinear process, often modeled as…

最优化与控制 · 数学 2022-07-26 Muhammad Umar B. Niazi , Karl Henrik Johansson

We present the first solution to the problem of estimation of the state of multimachine power systems with lossy transmission lines. We consider the classical three-dimensional \fluxdecay" model of the power system and assume that the…

系统与控制 · 电气工程与系统科学 2020-05-05 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer

Generalized parameter estimation-based observers have proven very successful to deal with systems described in state-affine form. In this paper, we enlarge the domain of applicability of this method proposing an algebraic procedure to…

系统与控制 · 电气工程与系统科学 2024-11-19 Romeo Ortega , Alexey Bobtsov , Jose Guadalupe Romero , Leyan Fang

In this paper we are interested in the problem of state observation of state-affine nonlinear systems. Our main contribution is to propose a globally exponentially convergent observer that requires only the necessary assumption of…

系统与控制 · 电气工程与系统科学 2021-08-24 Lei Wang , Romeo Ortega , Alexei Bobtsov

This article addresses the problem of state observer design for continuous-time linear positive networked systems. Considering the bandwidth constraint in the communication network, an event-measurement-based positive observer design is…

系统与控制 · 电气工程与系统科学 2025-08-06 Bhargavi Chaudhary , Krishanu Nath , Subashish Datta , Indra Narayan Kar

We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us…

偏微分方程分析 · 数学 2023-04-11 Herbert Egger , Jan Giesselmann

Control and state estimation of nonlinear systems satisfying a Lipschitz continuity condition have been important topics in nonlinear system theory for over three decades, resulting in a substantial amount of literature. The main criticism…

系统与控制 · 计算机科学 2013-02-26 Masoud Abbaszadeh , Horacio J. Marquez

This paper concerns the distributed observer for the descriptor linear system. Unlike centralized descriptor system observers, in the case of distributed observers, each agent either finds it difficult to independently eliminate impulses,…

动力系统 · 数学 2025-01-08 Shuai Liu , Haotian Xu

The paper shows that positive linear systems can be stabilized using positive Luenberger-type observers. This is achieved by structuring the observer as monotonically converging upper and lower bounds on the state. Analysis of the…

最优化与控制 · 数学 2026-04-21 David Ohlin , Anders Rantzer , Emma Tegling

We state sufficient conditions for the existence, on a given open set, of the extension, to nonlinear systems, of the Luenberger observer as it has been proposed by Kazantzis and Kravaris. We prove it is sufficient to choose the dimension…

最优化与控制 · 数学 2009-03-03 Vincent Andrieu , Laurent Praly

This paper is concerned with coupling conditions at junctions for transport models which differ in their fidelity to describe transient flow in gas pipelines. It also includes the integration of compressors between two pipes with possibly…

偏微分方程分析 · 数学 2019-12-17 Pascal Mindt , Jens Lang , Pia Domschke

In this paper, we present finite-dimensional port-Hamiltonian system (PHS) models of a gas pipeline and a network comprising several pipelines for the purpose of control design and stability analysis. Starting from the partial differential…

系统与控制 · 电气工程与系统科学 2023-11-27 Albertus J. Malan , Lukas Rausche , Felix Strehle , Sören Hohmann

Observer design typically requires the observability of the underlying system, which may be hard to verify for nonlinear systems, while guaranteeing asymptotic convergence of errors, which may be insufficient in order to satisfy performance…

最优化与控制 · 数学 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for example, gas pipe network systems described by barotropic…

数值分析 · 数学 2022-03-25 Björn Liljegren-Sailer , Nicole Marheineke

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

系统与控制 · 电气工程与系统科学 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

Designing Luenberger observers for nonlinear systems involves the challenging task of transforming the state to an alternate coordinate system, possibly of higher dimensions, where the system is asymptotically stable and linear up to output…

最优化与控制 · 数学 2023-04-06 Muhammad Umar B. Niazi , John Cao , Xudong Sun , Amritam Das , Karl Henrik Johansson