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This work deals with the problem of designing observers for the estimation of a single function of the states for discrete-time nonlinear systems. Necessary and sufficient conditions for the existence of lower order functional observers…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Sunjeev Venkateswaran , Benjamin A. Wilhite , Costas Kravaris

This paper proposes a novel approach for designing functional observers for nonlinear systems, with linear error dynamics and assignable poles. Sufficient conditions for functional observability are first derived, leading to functional…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Costas Kravaris

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…

Optimization and Control · Mathematics 2012-04-17 D. Boskos , J. Tsinias

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…

Optimization and Control · Mathematics 2017-03-23 Shankar Mohan , Jinsun Liu , Ram Vasudevan

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…

Optimization and Control · Mathematics 2023-04-06 Muhammad Umar B. Niazi , John Cao , Xudong Sun , Amritam Das , Karl Henrik Johansson

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…

Optimization and Control · Mathematics 2020-02-10 Lucas Brivadis , Vincent Andrieu , Ulysse Serres

This paper introduces a new nonlinear observer for state estimation of linear time invariant systems. The proposed observer contains a (nonlinear) cubic term in its error dynamics. "For the final version of this article, please refer to the…

Optimization and Control · Mathematics 2020-06-05 Mohammad Mahdi Share Pasand

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…

Optimization and Control · Mathematics 2019-10-10 Thomas Berger , Lukas Lanza

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

This paper provides a comprehensive framework for designing functional observers for linear systems subject to delayed output measurements. Moving beyond traditional methodologies, the proposed observer generates an estimate $\hat{z}(t)$…

Systems and Control · Electrical Eng. & Systems 2026-04-21 H. Trinh , P. T. Nam , T. N. Nguyen

This work deals with the problem of designing disturbance decupled observers for the estimation of a function of the states in nonlinear systems. Necessary and sufficient conditions for the existence of lower order disturbance decoupled…

Optimization and Control · Mathematics 2023-07-19 Sunjeev Venkateswaran , Costas Kravaris

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…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

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 investigates the problem of functional state estimation for linear time-delay systems in which the delay affecting the state evolution differs from the delay affecting the output measurements. While existing observer designs…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Hieu Trinh , Phan Thanh Nam , Tyrone Fernando

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…

Systems and Control · Computer Science 2013-02-26 Masoud Abbaszadeh , Horacio J. Marquez

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

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…

Optimization and Control · Mathematics 2024-07-09 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

For arbitrary linear time-invariant systems, the existence of a strong functional observer is investigated. Such observer determines, from the available measurement on the plant, an estimate of a function of the state and the input. This…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Michael Di Loreto , Damien Eberard

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

Time-series analysis is fundamental for modeling and predicting dynamical behaviors from time-ordered data, with applications in many disciplines such as physics, biology, finance, and engineering. Measured time-series data, however, are…

Chaotic Dynamics · Physics 2023-01-11 Arthur N. Montanari , Leandro Freitas , Daniele Proverbio , Jorge Gonçalves
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