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We propose a nonlinear observer to estimate the state (orientation and in-plane velocity vector) of the quadrotor, based on a drag-force-enhanced model. It is an alternative to recent works using a similar model together with an Extended…

Optimization and Control · Mathematics 2016-04-13 Philippe Martin , Ioannis Sarras

Unitary Fourier transform lies at the core of the multitudinous computational and metrological algorithms. Here we show experimentally how the unitary Fourier transform-based phase estimation protocol, used namely in quantum metrology, can…

Many real-world systems modeled using differential equations involve unknown or uncertain parameters. Standard approaches to address parameter estimation inverse problems in this setting typically focus on estimating constants; yet some…

Dynamical Systems · Mathematics 2024-03-25 Anna Fitzpatrick , Molly Folino , Andrea Arnold

Power converters are present in increasing numbers in the electric power grid. They are a major source of harmonic currents and voltages, which can reduce power quality and trip protection devices. The frequency coupling matrix (FCM) is a…

Systems and Control · Computer Science 2020-12-14 Antoine Lesage-Landry , Siyu Chen , Joshua A. Taylor

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

Methodology · Statistics 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

In this paper, we study the placement of Phasor Measurement Units (PMU) for enhancing hybrid state estimation via the traditional Gauss-Newton method, which uses measurements from both PMU devices and Supervisory Control and Data…

Optimization and Control · Mathematics 2016-11-15 Xiao Li , Anna Scaglione , Tsung-Hui Chang

Modern state and parameter estimations in power systems consist of two stages: the outer problem of minimizing the mismatch between network observation and prediction over the network parameters, and the inner problem of predicting the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Laurent Pagnier , Michael Chertkov

Fine-grained spectral properties of quantum Hamiltonians, including both eigenvalues and their multiplicities, provide useful information for characterizing many-body quantum systems as well as for understanding phenomena such as…

Quantum Physics · Physics 2026-05-01 Zhiyan Ding , Lin Lin , Yilun Yang , Ruizhe Zhang

A grid-feeding converter system is added to a novel power system transient simulation scheme based on frequency response optimized integrators considering second order derivative. The converter system and its implementation in the…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sheng Lei , Alexander Flueck

We address the problem of estimating the phase phi given N copies of the phase rotation u(phi) within an array of quantum operations in finite dimensions. We first consider the special case where the array consists of an arbitrary input…

Quantum Physics · Physics 2009-11-13 Wim van Dam , G. Mauro D'Ariano , Artur Ekert , Chiara Macchiavello , Michele Mosca

In this article, we introduce the notion of Quaternion Boostlet Transform (QBT), a hypercomplex framework designed to unify the analysis of multi-component wavefields by merging the algebraic richness of quaternions with the relativistic,…

Functional Analysis · Mathematics 2026-05-01 Owais Ahmad , Jasifa Fayaz

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

In this paper, a novel linear algorithm is proposed for state estimation including bad data detection of power systems that are monitored both by conventional and synchrophasor measurements. Both types of data are treated simultaneously and…

Systems and Control · Electrical Eng. & Systems 2020-01-30 Aleksandar Jovicic , Gabriela Hug

In this paper we study the question of how to reconstruct the state of a power system using Phasor Measurement Units (PMUs). In our previous research we proved that this question has an affirmative answer imposing some rather strict…

Systems and Control · Electrical Eng. & Systems 2024-10-08 Alexey Bobtsov , Romeo Ortega , Nicolai Lorenz-Meyer , Johannes Schiffer

Learning from data in the quaternion domain enables us to exploit internal dependencies of 4D signals and treating them as a single entity. One of the models that perfectly suits with quaternion-valued data processing is represented by 3D…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-16 Danilo Comminiello , Marco Lella , Simone Scardapane , Aurelio Uncini

We derive the form of the quantum filter equation describing the continuous observation of the phase of a quantum system in an arm of an interferometer via non-demolition measurements when the statistics of an input field used for the…

Quantum Physics · Physics 2016-01-19 John Gough

Networked systems usually face different random uncertainties that make the performance of the least-squares (LS) linear filter decline significantly. For this reason, great attention has been paid to the search for other kinds of…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Raquel Caballero-Águila , Josefa Linares-Pérez

Quantum metrology employs quantum resources to achieve measurement precision beyond classical limits. This work investigates a Mach--Zehnder interferometer incorporating a Kerr nonlinear phase shifter, with photon-added two-mode squeezed…

Quantum Physics · Physics 2026-02-20 Zekun Zhao , Qingqian Kang , Teng Zhao , Cunjin Liu , Xin Su , Liyun Hu

In this paper, a novel formulation for the power system state estimation is proposed, based on the recently introduced equivalent split-circuit formulation of the power flow problem. The formulation models the conventional and time…

Signal Processing · Electrical Eng. & Systems 2018-12-18 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

Predictive simulation of vibrational spectra of complex condensed-phase and interface systems with thousands of degrees of freedom has long been a challenging task of modern condensed matter theory. In this work, fourth-generation…

Materials Science · Physics 2025-12-04 Md Omar Faruque , Dil K. Limbu , Nathan London , Mohammad R. Momeni
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