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Online parameter identification is of importance, e.g., for model predictive control. Since the parameters have to be identified simultaneously to the process of the modeled system, dynamical update laws are used for state and parameter…

Numerical Analysis · Mathematics 2016-04-20 Romana Boiger , Barbara Kaltenbacher

Sensor technology developments provide a basis for effective fault diagnosis in manufacturing systems. However, the limited number of sensors due to physical constraints or undue costs hinders the accurate diagnosis in the actual process.…

Machine Learning · Computer Science 2023-10-26 Jihoon Chung , Zhenyu Kong

Fault monitoring and diagnostics are important to ensure reliability of electric motors. Efficient algorithms for fault detection improve reliability, yet development of cost-effective and reliable classifiers for diagnostics of equipment…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-16 Waldemar Bauer , Marta Zagorowska , Jerzy Baranowski

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

Numerical Analysis · Mathematics 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

We consider the identifiability and stable numerical estimation of multiple parameters in a Cahn-Hilliard model for phase separation. Spatially resolved measurements of the phase fraction are assumed to be accessible, with which the…

Numerical Analysis · Mathematics 2023-05-03 Aaron Brunk , Herbert Egger , Oliver Habrich

In the context of model-based control of industrial processes, it is a common practice to develop a data-driven linear dynamical model around a specified operating point. However, in applications involving wider operating conditions,…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Vatsal Kedia , Vivek S. Pinnamaraju , Dinesh Patil

A system of coupled oscillators on an arbitrary graph is locally driven by the tendency to mutual synchronization between nearby oscillators, but can and often exhibit nonlinear behavior on the whole graph. Understanding such nonlinear…

Dynamical Systems · Mathematics 2023-11-28 Agam Goyal , Zhaoxing Wu , Richard P. Yim , Binhao Chen , Zihong Xu , Hanbaek Lyu

Ground fault detection in inverter-based microgrid (IBM) systems is challenging, particularly in a real-time setting, as the fault current deviates slightly from the nominal value. This difficulty is reinforced when there are partially…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Jingwei Dong , Yucheng Liao , Haiwei Xie , Jochen Cremer , Peyman Mohajerin Esfahani

State and parameter estimation, along with fault detection, are three crucial estimation problems within the control systems community. Although different approaches have been proposed for each type of problem, the modulating function…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Davi G. Accioli , Jerome Jouffroy

Localization of unknown faults in industrial systems is a difficult task for data-driven diagnosis methods. The classification performance of many machine learning methods relies on the quality of training data. Unknown faults, for example…

Signal Processing · Electrical Eng. & Systems 2019-10-15 Daniel Jung

Dynamical systems with quadratic or polynomial drift exhibit complex dynamics, yet compared to nonlinear systems in general form, are often easier to analyze, simulate, control, and learn. Results going back over a century have shown that…

Symbolic Computation · Computer Science 2025-02-17 Boris Kramer , Gleb Pogudin

Computing more than one eigenvalue for (large sparse) one-parameter polynomial and general nonlinear eigenproblems, as well as for multiparameter linear and nonlinear eigenproblems, is a much harder task than for standard eigenvalue…

Numerical Analysis · Mathematics 2021-10-19 Michiel E. Hochstenbach , Bor Plestenjak

This paper proposes an algorithm that combines Fast Moving Horizon Parameter Estimation and Model Predictive Control subject to an observability constraint designed to ensure a lower bound on the performance of the parameter estimator.…

Optimization and Control · Mathematics 2023-03-27 Emilien Flayac , Girish Nair , Iman Shames

Detection and identification of nonlinearity is a task of high importance for structural dynamics. Detecting nonlinearity in a structure, which has been designed to operate in its linear region, might indicate the existence of damage.…

Machine Learning · Computer Science 2024-01-08 G. Tsialiamanis , C. R. Farrar

A new Bayesian approach to linear system identification has been proposed in a series of recent papers. The main idea is to frame linear system identification as predictor estimation in an infinite dimensional space, with the aid of…

Machine Learning · Statistics 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

A major challenge in next-generation industrial applications is to improve numerical analysis by quantifying uncertainties in predictions. In this work we present a formulation of a fully nonlinear and dispersive potential flow water wave…

Computational Physics · Physics 2016-04-15 Daniele Bigoni , Allan P. Engsig-Karup , Claes Eskilsson

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

Developing advanced diagnosis tools to detect cyber attacks is the key to security of power systems. It has been shown that multivariate data injection attacks can bypass bad data detection schemes typically built on static behavior of the…

Optimization and Control · Mathematics 2019-09-24 Kaikai Pan , Peter Palensky , Peyman Mohajerin Esfahani