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In this paper, we propose fixed-order set-valued (in the form of l2-norm hyperballs) observers for some classes of nonlinear bounded-error dynamical systems with unknown input signals that simultaneously find bounded hyperballs of states…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Mohammad Khajenejad , Sze Zheng Yong

This paper presents a data-driven approach for designing state observers for continuous-time nonlinear systems, where an extended dynamic mode decomposition (EDMD) procedure is used to identify an approximate linear lifted model. Since such…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Xiuzhen Ye , Wentao Tang

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

In this paper we investigate a data-driven approach to the design of an unknown-input observer (UIO). Specifically, we provide necessary and sufficient conditions for the existence of an unknown-input observer for a discrete-time linear…

Dynamical Systems · Mathematics 2025-01-03 Giorgia Disarò , Maria Elena Valcher

This paper provides a new observer design methodology for invariant systems whose state evolves on a Lie group with outputs in a collection of related homogeneous spaces and where the measurement of system input is corrupted by an unknown…

Systems and Control · Computer Science 2015-07-15 Alireza Khosravian , Jochen Trumpf , Robert Mahony , Christian Lageman

This paper analyzes the stability-related properties of Long Short-Term Memory (LSTM) networks and investigates their use as the model of the plant in the design of Model Predictive Controllers (MPC). First, sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Enrico Terzi , Fabio Bonassi , Marcello Farina , Riccardo Scattolini

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

In this paper, we compute a low order approximation of a system of large order $n$ that matches $\nu$ moments of order $j_i$ of the transfer function, at $\nu$ interpolation points, has $\ell$ poles and $k$ zeros fixed and also matches…

Optimization and Control · Mathematics 2021-02-25 Tudor C. Ionescu , Orest V. Iftime , Ion Necoara

We propose a projection based multi-moment matching method for model order reduction of quadratic-bilinear systems. The goal is to construct a reduced system that ensures higher-order moment matching for the multivariate transfer functions…

Systems and Control · Electrical Eng. & Systems 2023-03-01 Mian Muhammad Arsalan Asif , Mian Ilyas Ahmad , Peter Benner , Lihong Feng , Tatjana Stykel

This paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to deploy in continuous-time integral computation, our work…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Hung Nguyen , Binh Nguyen , Hyung-Gohn Lee , Hyo-Sung Ahn

This study is concerned with the problem of partial state estimation for linear time-invariant (LTI) distributed state-space systems. A necessary and sufficient condition is established in terms of a simple rank criterion involving the…

Optimization and Control · Mathematics 2026-04-02 Juhi Jaiswal , Thomas Berger , Nutan Kumar Tomar

This paper presents a novel model order reduction technique tailored for power systems with a large share of inverter-based energy resources. Such systems exhibit an increased level of dynamic stiffness compared to traditional power…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Simon Muntwiler , Ognjen Stanojev , Andrea Zanelli , Gabriela Hug , Melanie N. Zeilinger

This paper deals with the problem of robust fault estimation for the Lipschitz nonlinear systems under the influence of sensor faults and actuator faults. In the proposed methodology, a descriptor system is formulated by augmenting sensor…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Shivaraj Mohite , Adil Sheikh , S. R. Wagh

State estimation constitutes a core task in monitoring, supervision, and control of dynamic systems. This paper proposes a data-driven framework for the design of state observers for descriptor systems. Necessary and sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yuan Zhang , Yu Wang , Keke Huang , Zhongqi Sun , Tyrone Fernando

In this work, we present the novel mathematical framework of latent dynamics models (LDMs) for reduced order modeling of parameterized nonlinear time-dependent PDEs. Our framework casts this latter task as a nonlinear dimensionality…

Numerical Analysis · Mathematics 2024-12-02 Nicola Farenga , Stefania Fresca , Simone Brivio , Andrea Manzoni

In this paper concurrent learning (CL)-based full and reduced order observers for a perspective dynamical system (PDS) are developed. The PDS is a widely used model for estimating the depth of a feature point from a sequence of camera…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Ghananeel Rotithor , Daniel Trombetta , Rushikesh Kamalapurkar , Ashwin Dani

We consider the problem of asymptotic reconstruction of the state and parameter values in systems of ordinary differential equations. A solution to this problem is proposed for a class of systems of which the unknowns are allowed to be…

Optimization and Control · Mathematics 2015-03-13 Ivan Y. Tyukin , Erik Steur , Henk Nijmeijer , Cees van Leeuwen

In standard balanced truncation model order reduction, the initial condition is typically ignored in the reduction procedure and is assumed to be zero instead. However, such a reduced-order model may be a bad approximation to the full-order…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Christian Schröder , Matthias Voigt

A simultaneous input and state interval observer is presented for Lipschitz continuous nonlinear systems with unknown inputs and bounded noise signals for the case when the direct feedthrough matrix has full column rank. The observer…

Systems and Control · Electrical Eng. & Systems 2020-02-13 Mohammad Khajenejad , Sze Zheng Yong

Efficient modeling of the Richtmyer-Meshkov instability (RMI) is essential to many engineering tasks, including high-speed combustion and drive and capsule geometry optimization in Inertial Confinement Fusion (ICF). In the latter, RMI…

Fluid Dynamics · Physics 2025-10-21 Daniel Messenger , Daniel Serino , Balu Nadiga , Marc Klasky
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