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This paper proposes a novel unified interval-valued observer synthesis approach for locally Lipschitz nonlinear continuous-time (CT) and discrete-time (DT) systems with nonlinear observations. A key feature of our proposed observer, which…

Systems and Control · Electrical Eng. & Systems 2022-02-24 Mohammad Khajenejad , Fatima Shoaib , Sze Zheng Yong

We consider the problem of adaptive observer design in the settings when the system is allowed to be nonlinear in the parameters, and furthermore they are to satisfy additional feasibility constraints. A solution to the problem is proposed…

Optimization and Control · Mathematics 2014-12-18 I. Yu. Tyukin , P. A. Rogachev , H. Nijmeijer

This work considers the problem of calculating an interval-valued state estimate for a nonlinear system subject to bounded inputs and measurement errors. Such state estimators are often called interval observers. Interval observers can be…

Optimization and Control · Mathematics 2021-10-25 Stuart M. Harwood , Paul I. Barton

For many quantum systems intended for information processing, one detects the logical state of a qubit by integrating a continuously observed quantity over time. For example, ion and atom qubits are typically measured by driving a cycling…

Quantum Physics · Physics 2023-10-03 Shawn Geller , Daniel C. Cole , Scott Glancy , Emanuel Knill

Observer design for linear systems with aperiodic sampled-data measurements is addressed. To solve this problem, a novel hybrid observer is designed. The main peculiarity of the proposed observer consists of the use two output injection…

Systems and Control · Electrical Eng. & Systems 2021-12-23 Francesco Ferrante , Alexandre Seuret

We revisit macroeconomic time-varying parameter vector autoregressions (TVP-VARs), whose persistent coefficients may adapt too slowly to large, abrupt shifts such as those during major crises. We explore the performance of an…

Econometrics · Economics 2025-12-04 Nicolas Hardy , Dimitris Korobilis

This paper presents results on the solvability of the observer design problem for general nonlinear triangular systems with inputs, under weak observability assumptions. The local state estimation is exhibited by means of a delayed…

Optimization and Control · Mathematics 2016-12-05 Dionysis Theodosis , Dimitris Boskos , John Tsinias

The unknown inputs in a dynamical system may represent unknown external drivers, input uncertainty, state uncertainty, or instrument faults and thus unknown-input reconstruction has several wide-spread applications. In this paper we…

Optimization and Control · Mathematics 2015-09-22 Roshan A Chavan , Harish J. Palanthandalam-Madapusi

This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a…

Optimization and Control · Mathematics 2020-08-04 Dionysis Theodosis , Soulaimane Berkane , Dimos V. Dimarogonas

This paper introduces a Distributed Unknown Input Observer (D-UIO) design methodology that uses a technique called node-wise detectability decomposition to estimate the state of a discrete-time linear time-invariant (LTI) system in a…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Franco Angelo Torchiaro , Gianfranco Gagliardi , Francesco Tedesco , Alessandro Casavola

Most identification laws of unknown parameters of linear regression equations (LRE) ensure only boundedness of a parametric error in the presence of additive perturbations, which is almost always unacceptable for practical scenarios. In…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Anton Glushchenko , Konstantin Lastochkin

To comprehend complex systems with multiple states, it is imperative to reveal the identity of these states by system outputs. Nevertheless, the mathematical models describing these systems often exhibit nonlinearity so that render the…

Machine Learning · Computer Science 2023-07-04 Guangtao Zhang , Yiting Duan , Guanyu Pan , Qijing Chen , Huiyu Yang , Zhikun Zhang

This paper focuses on designing a particle filter for randomly delayed measurements with an unknown latency probability. A generalized measurement model is adopted which includes measurements that are delayed randomly by an arbitrary but…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Ranjeet Kumar Tiwari , Shovan Bhaumik , Paresh Date

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

Methodology · Statistics 2025-08-19 Andrea Arnold

Standard model-based control design deteriorates when the system dynamics change during operation. To overcome this challenge, online and adaptive methods have been proposed in the literature. In this work, we consider the class of…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Marcell Bartos , Johannes Köhler , Florian Dörfler , Melanie N. Zeilinger

This paper considers the design of robust state observers for a class of slope-restricted nonlinear descriptor systems with unknown time-varying parameters belonging to a known set. The proposed design accounts for process disturbances and…

Optimization and Control · Mathematics 2022-07-12 T. J. Meijer , V. S. Dolk , M. S. Chong , W. P. M. H. Heemels

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…

Systems and Control · Computer Science 2018-07-12 Bowen Yi , Romeo Ortega , Weidong Zhang

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…

Systems and Control · Computer Science 2019-03-14 Lili Wang , Ji Liu , A. Stephen Morse , Brian D. O. Anderson

Unknown inputs related to, e.g., sensor aging, modeling errors, or device bias, represent a major concern in wireless sensor networks, as they degrade the state estimation performance. To improve the performance, unknown-input observers…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Yuzhou Wei , Giorgia Disarò , Wenjie Liu , Jian Sun , Maria Elena Valcher , Gang Wang

Estimating and quantifying uncertainty in unknown system parameters from limited data remains a challenging inverse problem in a variety of real-world applications. While many approaches focus on estimating constant parameters, a subset of…

Methodology · Statistics 2023-05-09 Andrea Arnold
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