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This paper focuses on observer based fault reconstruction for a class of nonlinear uncertain systems with Lipschitz nonlinearities. An adaptive-gain Super-Twisting (STW) observer is developed for observing the system states, where the…

Optimization and Control · Mathematics 2013-03-26 Jianxing Liu , Salah Laghrouche , Maxime Wack

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

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

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…

Optimization and Control · Mathematics 2022-11-17 Olga Kozachek , Alexey Bobtsov , Nikolay Nikolaev

This paper considers the simultaneous state and unknown input estimation for continuous-discrete stochastic systems. Two types of approaches (with and without modeling of unknown inputs) which can address this issue are investigated. A…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Peng Lu

Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers…

Dynamical Systems · Mathematics 2022-07-26 Alexey Bobtsov , Nikolay Nikolaev , Olga Slita , Olga Kozachek

This work addresses the design of a robust hybrid observer for discrete-time switched linear systems subject to unknown inputs and modeling errors. The observer herein proposed is synthesized, for the case when the active mode is unknown…

Dynamical Systems · Mathematics 2019-02-19 Djamel Belkhiat , Nadhir Messai , Noureddine Manamanni

In this paper, a concurrent learning based adaptive observer is developed for a class of second-order linear time-invariant systems with uncertain system matrices. The developed technique yields an exponentially convergent state estimator…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar

In this paper, a high-order nonlinear continuous integral-derivative observer is presented based on finite-time stability and singular perturbation technique. The proposed integral-derivative observer can not only obtain the multiple…

Systems and Control · Computer Science 2015-05-15 Xinhua Wang , Bijan Shirinzadeh

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Markus Tranninger , Richard Seeber , Martin Steinberger , Martin Horn , Christian Pötzsche

This paper proposes a distributed prescribed-time observer for nonlinear systems representable in a block-triangular observable canonical form. Using a weighted average of neighbor estimates exchanged over a strongly connected digraph, each…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Vincent de Heij , M. Umar B. Niazi , Karl H. Johansson , Saeed Ahmed

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

Optimization and Control · Mathematics 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

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

Systems and Control · Computer Science 2022-08-05 L. Wang , A. S. Morse , D. Fullmer , J. Liu

We address the problem of state estimation, attack isolation, and control of discrete-time linear time-invariant systems under (potentially unbounded) actuator and sensor false data injection attacks. Using a bank of unknown input…

Systems and Control · Computer Science 2019-04-10 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nesic

This paper presents versions of integral input-to-state stability and integral input-to-integral-state stability for nonlinear sampled-data systems, under the low measurement rate constraint. In particular, we compensate the lack of…

Dynamical Systems · Mathematics 2018-04-24 Navid Noroozi , Seyed Hossein Mousavi , Horacio J. Marquez

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

Nonlinear extension of the integral part of a standard proportional-integral-derivative (PID) feedback control is proposed for perturbed second-order systems. The approach is model-free and requires solely the Lipschitz boundedness of the…

Optimization and Control · Mathematics 2025-05-20 Michael Ruderman

This paper utilizes the recently proposed cubic observer to estimate the state of a class of nonlinear systems. The cubic observer is proposed as an alternative to linear observers for improved convergence rate and robustness. It is shown…

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

This work provides a framework for data-driven control of discrete time systems with unknown input-output dynamics and outputs controllable by the inputs. This framework leads to stable and robust real-time control of the system such that a…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Amit K. Sanyal

This manuscript bridges nonparametric smoothness-based and shape-restricted estimation, which may appear as two disjoint paradigms in the field. The proposed approach is motivated by a conceptually simple observation: every Lipschitz…

Methodology · Statistics 2026-05-22 Kenta Takatsu , Tianyu Zhang , Arun Kumar Kuchibhotla
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