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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…

Systems and Control · Computer Science 2020-03-16 L. Wang , A. S. Morse

Time delay based control, recently proposed for non-collocated fourth-order systems, has several advantages over an observer-based state-feedback compensation of the low-damped oscillations in output. In this paper, we discuss a practical…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Michael Ruderman

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

This paper studies the problem of designing sampled-data observers and observer-based, sampled-data, output feedback stabilizers for systems with both discrete and distributed, state and output time-delays. The obtained results can be…

Optimization and Control · Mathematics 2019-07-17 Tarek Ahmed-Ali , Iasson Karafyllis , Fouad Giri

This paper proposes a simple interval observer which can generate tighter interval estimates of variables in transient states than the standard interval observer. The simple nonlinear dynamics shrinks the estimated intervals to true state…

Optimization and Control · Mathematics 2020-04-03 Hiroshi Ito

The design of unknown-input decoupled observers and filters requires the assumption of an existence condition in the literature. This paper addresses an unknown input filtering problem where the existence condition is not satisfied. Instead…

Systems and Control · Computer Science 2020-05-05 Peng Lu , Erik-Jan van Kampen , Cornelis C. de Visser , Qiping Chu

A new adaptive observer is proposed for a certain class of nonlinear systems with bounded unknown input and parametric uncertainty. Unlike most existing solutions, the proposed approach ensures asymptotic convergence of the unknown…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Anton Glushchenko , Konstantin Lastochkin

Current state-of-the-art correct-by-design controllers are designed for full-state measurable systems. This work first extends the applicability of correct-by-design controllers to partially observable LTI systems. Leveraging 2nd order…

Systems and Control · Computer Science 2015-09-14 Sofie Haesaert , Paul M. J. Van den Hof , Alessandro Abate

This paper is devoted to the problem of designing functional observers for linear time-invariant (LTI) descriptor systems. The observers are realized by using state-space systems governed by ordinary differential equations (ODEs). Available…

Optimization and Control · Mathematics 2024-05-14 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

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…

Optimization and Control · Mathematics 2022-07-26 Muhammad Umar B. Niazi , Karl Henrik Johansson

The distributed observer design problem holds significant importance in cases in which the output information of a system is decentralized across different subsystems. Each subsystem has a local observer and access to one part of the…

Dynamical Systems · Mathematics 2024-02-13 Haotian Xu , Shuai Liu , Bohui Wang , Jingcheng Wang

This paper presents a systematic observer design methodology for a class of port-Hamiltonian (pH) systems with state-dependent input matrices. Such systems can model a wide range of electromechanical systems, including magnetic levitation…

Optimization and Control · Mathematics 2026-04-06 Filippo Ugolini , Ning Liu , Yongxin Wu , Yann Le Gorrec , Alessandro Macchelli

The paper addresses the problem of attitude estimation for rigid bodies using (possibly time-varying) vector measurements, for which we provide a necessary and sufficient condition of distinguishability. Such a condition is shown to be…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Bowen Yi , Lei Wang , Ian R. Manchester

The development of disturbance estimators using extended state observers (ESOs) typically assumes that the system is observable. This paper introduces an improved method for systems that are initially unobservable, leveraging Taylor…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Cuong Duc Nguyen

We propose an observer for a SIR epidemic model. The observer is then uplifted into a predictor to compensate for time delays in the input and the output. Tuning criteria are given for tuning gains of the predictor, while the…

Systems and Control · Electrical Eng. & Systems 2021-08-05 Sabine Mondié , Fernando Castaños

In [1], it is established that a convergent observer with an infinite gain margin can be designed for a given nonlinear system when a Riemannian metric showing that the system is differentially detectable (i.e., the Lie derivative of the…

Optimization and Control · Mathematics 2016-06-21 Ricardo G. Sanfelice , Laurent Praly

A fixed-order set-valued observer is presented for linear parameter-varying systems with bounded-norm noise and under completely unknown attack signals, which simultaneously finds bounded sets of states and unknown inputs that include the…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohammad Khajenejad , Sze Zheng Yong

We consider the problem of state and parameter estimation for a wide class of nonlinear oscillators. Observable variables are limited to a few components of state vector and an input signal. The problem of state and parameter reconstruction…

Neurons and Cognition · Quantitative Biology 2015-03-13 David Fairhurst , Ivan Tyukin , Henk Nijmeijer , Cees van Leeuwen

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,…

Optimization and Control · Mathematics 2017-08-07 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen
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