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The problem of leak detection in a pipeline with nonlinear friction is considered. A distributed observer-based method is proposed which applies a linearised, distributed adaptive observer design to the nonlinear model. The methodology is…

系统与控制 · 电气工程与系统科学 2025-03-28 Nils Christian Aars Wilhelmsen , Ole Morten Aamo

An exponential Luenberger dynamical observer is proposed to estimate the state of a general class of nonautonomous semilinear parabolic equations. The result can be applied to the case where the output is given by state measurements taken…

偏微分方程分析 · 数学 2022-12-06 Sérgio S. Rodrigues , Dagmawi A. Seifu

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

Traditional observer design methods rely on certain properties of the system's nonlinearity, such as Lipschitz continuity, one-sided Lipschitzness, a bounded Jacobian, or quadratic boundedness. These properties are described by…

系统与控制 · 电气工程与系统科学 2023-04-10 Muhammad Umar B. Niazi , Karl H. Johansson

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

系统与控制 · 电气工程与系统科学 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

In this paper we consider the distributed estimation problem for continuous-time linear time-invariant (LTI) systems. A single linear plant is observed by a network of local observers. Each local observer in the network has access to only…

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

The paper deals with the observer design problem for a wide class of triangular time-varying nonlinear systems, with unobservable linearization. Sufficient conditions are derived for the existence of a Luenberger-type observer, when it is a…

最优化与控制 · 数学 2012-04-17 D. Boskos , J. Tsinias

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

系统与控制 · 计算机科学 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

In this paper, we study hydrogen-natural gas mixtures transported through pipeline networks. The flow is modeled by the isothermal Euler equations with a pressure law involving a non-constant, composition-dependent compressibility factor.…

数值分析 · 数学 2026-02-10 Simone Göttlich , Michael Schuster , Alena Ulke

The method to design exponentially stable adaptive observers is proposed for linear time-invariant systems parameterized by unknown physical parameters. Unlike existing adaptive solutions, the system state-space matrices A, B are not…

系统与控制 · 电气工程与系统科学 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions. The mathematical model is derived using Hamilton's principle…

最优化与控制 · 数学 2022-08-19 Alexander Zuyev , Julia Kalosha

The analysis and boundary optimal control of the nonlinear transport of gas on a network of pipelines is considered. The evolution of the gas distribution on a given pipe is modeled by an isothermal semilinear compressible Euler system in…

最优化与控制 · 数学 2023-04-14 Marcelo Bongarti , Michael Hintermüller

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

系统与控制 · 电气工程与系统科学 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

A time-invariant, linear, distributed observer is described for estimating the state of an $m>0$ channel, $n$-dimensional continuous-time linear system of the form $ \dot{x} = Ax,\ y_i = C_i x,\ i \in \{1,2,\cdots, m\}$. The state $x$ is…

系统与控制 · 计算机科学 2020-03-16 L. Wang , A. S. Morse

Problem of an adaptive state observer design for nonlinear system with unknown time-varying parameters and under condition of delayed measurements is considered. State observation problem was raised by many researchers (see for example Sanx…

最优化与控制 · 数学 2022-11-17 Olga Kozachek , Alexey Bobtsov , Nikolay Nikolaev

This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error…

最优化与控制 · 数学 2026-01-21 Kai Liu , Hua-Cheng Zhou , Zhong-Jie Han , Xiangyang Peng

Developing robust data assimilation methods for hyperbolic conservation laws is a challenging subject. Those PDEs indeed show no dissipation effects and the input of additional information in the model equations may introduce errors that…

最优化与控制 · 数学 2015-03-27 Anne-Céline Boulanger , Philippe Moireau , Benoit Perthame , Jacques Sainte-Marie

A simply structured distributed observer is described for estimating the state of a discrete-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 · 计算机科学 2019-03-14 Lili Wang , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

In this paper, we are concerned with the quantification of uncertainties that arise from intra-day oscillations in the demand for natural gas transported through large-scale networks. The short-term transient dynamics of the gas flow is…

数值分析 · 数学 2020-12-08 Jens Lang , Pia Domschke , Elisa Strauch

We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann actuation and point measurement. Using dynamic extension and…

最优化与控制 · 数学 2021-12-30 Rami Katz , Emilia Fridman