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We propose a robust parameter estimation method for dynamical systems based on Statistical Learning techniques which aims to estimate a set of parameters that well fit the dynamics in order to obtain robust evidences about the qualitative…

Methodology · Statistics 2021-02-26 Diego Marcondes

This paper describes extension of the Master Stability Function for arrays of non-smooth oscillators. This extension is based on the previously introduced Jacobi matrix estimation method, which can be applied to networks of non-smooth…

Dynamical Systems · Mathematics 2025-03-31 Volodymyr Denysenko , Marek Balcerzak , Artur Dabrowski

Power system dynamic state estimation is essential to monitoring and controlling power system stability. Kalman filtering approaches are predominant in estimation of synchronous machine dynamic states (i.e. rotor angle and rotor speed).…

Systems and Control · Computer Science 2017-02-03 Shahrokh Akhlaghi , Ning Zhou

Accurate estimation of the dynamic states of a synchronous machine (e.g., rotor s angle and speed) is essential in monitoring and controlling transient stability of a power system. It is well known that the covariance matrixes of process…

Systems and Control · Computer Science 2017-02-06 Shahrokh Akhlaghi , Ning Zhou , Zhenyu Huang

Estimation of sensitivity matrices in electrical transmission systems allows grid operators to evaluate in real-time how changes in power injections reflect into changes in power flows. In this paper, we propose a robust low-rank…

Optimization and Control · Mathematics 2023-09-12 Ana M. Ospina , Emiliano Dall'Anese

Matrix factorization from a small number of observed entries has recently garnered much attention as the key ingredient of successful recommendation systems. One unresolved problem in this area is how to adapt current methods to handle…

Machine Learning · Computer Science 2012-08-07 John Z. Sun , Kush R. Varshney , Karthik Subbian

In contrast to conventional robots, accurately modeling the kinematics and statics of continuum robots is challenging due to partially unknown material properties, parasitic effects, or unknown forces acting on the continuous body.…

Robotics · Computer Science 2024-12-03 Sven Lilge , Timothy D. Barfoot , Jessica Burgner-Kahrs

We introduce a numerical method to determine the Hamiltonian of Mean Force (HMF) Gibbs state for a quantum system strongly coupled to a reservoir. The method adapts the Time Evolving Matrix Product Operator (TEMPO) algorithm to imaginary…

Quantum Physics · Physics 2022-07-07 Yiu-Fung Chiu , Aidan Strathearn , Jonathan Keeling

Recently, distributed algorithms for power system state estimation have attracted significant attention. Along with such advantages as decomposition, parallelization of the original problem and absence of a central computation unit,…

Optimization and Control · Mathematics 2020-07-07 Samal Kubentayeva , Elena Gryazina , Sergei Parsegov , Alexander Gasnikov , Federico Ibáñez

An optimization based state and parameter estimation method is presented where the required Jacobian matrix of the cost function is computed via automatic differentiation. Automatic differentiation evaluates the programming code of the cost…

Chaotic Dynamics · Physics 2015-07-10 Jan Schumann-Bischoff , Stefan Luther , Ulrich Parlitz

In the field of autonomous systems, accurately predicting the trajectories of nearby vehicles and pedestrians is crucial for ensuring both safety and operational efficiency. This paper introduces a novel methodology for trajectory…

Robotics · Computer Science 2024-08-26 Yu Zhang , Yongxiang Zou , Haoyu Zhang , Zeyu Liu , Houcheng Li , Long Cheng

In this work, an innovative data-driven moving horizon state estimation is proposed for model dynamic-unknown systems based on Bayesian optimization. As long as the measurement data is received, a locally linear dynamics model can be…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Qing Sun , Shuai Niu , Minrui Fei

With the rising penetration of distributed energy resources, distribution system control and enabling techniques such as state estimation have become essential to distribution system operation. However, traditional state estimation…

Optimization and Control · Mathematics 2019-04-11 Priya L. Donti , Yajing Liu , Andreas J. Schmitt , Andrey Bernstein , Rui Yang , Yingchen Zhang

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

Continuum robots are flexible, thin manipulators capable of navigating confined or delicate environments making them well suited for surgical applications. Previous approaches to continuum robot state estimation typically rely on…

Robotics · Computer Science 2026-02-24 James M. Ferguson , Alan Kuntz , Tucker Hermans

In this letter, we analytically investigate the sensitivity of stability index to its dependent variables in general power systems. Firstly, we give a small-signal model, the stability index is defined as the solution to a semidefinite…

Optimization and Control · Mathematics 2023-01-27 Jun Wang , Yue Song , David John Hill , Yunhe Hou

Efficient and accurate state estimation is essential for the optimal management of the future smart grid. However, to meet the requirements of deploying the future grid at a large scale, the state estimation algorithm must be able to…

Information Theory · Computer Science 2017-09-29 Jung-Chieh Chen , Hwei-Ming Chung , Chao-Kai Wen , Wen-Tai Li , Jen-Hao Teng

We propose a method to perform set-based state estimation of an unknown dynamical linear system using a data-driven set propagation function. Our method comes with set-containment guarantees, making it applicable to safety-critical systems.…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Amr Alanwar , Alexander Berndt , Karl Henrik Johansson , Henrik Sandberg

Experiments, in particular on biological systems, typically probe lower-dimensional observables which are projections of high-dimensional dynamics. In order to infer consistent models capturing the relevant dynamics of the system, it is…

Statistical Mechanics · Physics 2025-11-18 Xizhu Zhao , Dmitrii E. Makarov , Aljaž Godec

This paper develops a hybrid system modeling framework for inverters that switch between grid-following and grid-forming control schemes. In particular, such inverters are modeled as hybrid automata with guard conditions on voltage and…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Bukunmi G. Odunlami , Marcos Netto