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We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are…

Machine Learning · Computer Science 2024-08-28 Yuan Chen , Dongbin Xiu

In this paper, we investigate discrete-time decision-making problems in uncertain systems with partially observed states. We consider a non-stochastic model, where uncontrolled disturbances acting on the system take values in bounded sets…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

In this paper, a purely measurement-based method is proposed to estimate the dynamic system state matrix by applying the regression theorem of the multivariate Ornstein-Uhlenbeck process. The proposed method employs a recursive algorithm to…

Signal Processing · Electrical Eng. & Systems 2019-05-29 Hao Sheng , Xiaozhe Wang

This paper proposes a fully decentralized and recursive approach to online identification of unknown kinematic and dynamic parameters for cooperative manipulation of a rigid body based on commonly used local measurements. To the best of our…

Optimization and Control · Mathematics 2018-02-26 Taosha Fan , Huan Weng , Todd Murphey

Intelligent agents need a physical understanding of the world to predict the impact of their actions in the future. While learning-based models of the environment dynamics have contributed to significant improvements in sample efficiency…

Machine Learning · Computer Science 2020-05-20 Eric Heiden , David Millard , Hejia Zhang , Gaurav S. Sukhatme

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

Optimization and Control · Mathematics 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

Filtering is concerned with online estimation of the state of a dynamical system from partial and noisy observations. In applications where the state of the system is high dimensional, ensemble Kalman filters are often the method of choice.…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Omar Al Ghattas , Jiajun Bao , Daniel Sanz-Alonso

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Robust state estimation for highly dynamic motion of legged robots remains challenging, especially in dynamic, contact-rich scenarios. Traditional approaches often rely on binary contact states that fail to capture the nuances of partial…

Learning dynamics governing physical and spatiotemporal processes is a challenging problem, especially in scenarios where states are partially measured. In this work, we tackle the problem of learning dynamics governing these systems when…

Machine Learning · Computer Science 2024-12-13 Paul Ghanem , Ahmet Demirkaya , Tales Imbiriba , Alireza Ramezani , Zachary Danziger , Deniz Erdogmus

State space models are well-known for their versatility in modeling dynamic systems that arise in various scientific disciplines. Although parametric state space models are well studied, nonparametric approaches are much less explored in…

Methodology · Statistics 2015-07-23 Satyaki Mazumder , Sourabh Bhattacharya

We propose a numerical method for discovering unknown parameterized dynamical systems by using observational data of the state variables. Our method is built upon and extends the recent work of discovering unknown dynamical systems, in…

Numerical Analysis · Mathematics 2020-03-11 Tong Qin , Zhen Chen , John Jakeman , Dongbin Xiu

Networked dynamical systems are common throughout science in engineering; e.g., biological networks, reaction networks, power systems, and the like. For many such systems, nonlinearity drives populations of identical (or near-identical)…

Dynamical Systems · Mathematics 2023-02-10 James Koch , Zhao Chen , Aaron Tuor , Jan Drgona , Draguna Vrabie

Online estimation of electromechanical oscillation parameters provides essential information to prevent system instability and blackout and helps to identify event categories and locations. We formulate the problem as a state space model…

Optimization and Control · Mathematics 2017-06-19 Zhe Yu , Di Shi , Zhiwei Wang , Qibing Zhang , Junhui Huang , Sen Pan

Predicting the behavior of a dynamical system from noisy observations of its past outputs is a classical problem encountered across engineering and science. For linear systems with Gaussian inputs, the Kalman filter -- the best linear…

Machine Learning · Computer Science 2026-03-10 Usman Akram , Haris Vikalo

This paper deals with the problem of state estimation for a class of linear time-invariant systems with quadratic output measurements. An immersion-type approach is presented that transforms the system into a state-affine system by adding a…

Optimization and Control · Mathematics 2020-08-04 Dionysis Theodosis , Soulaimane Berkane , Dimos V. Dimarogonas

Learning kinetic systems from data is one of the core challenges in many fields. Identifying stable models is essential for the generalization capabilities of data-driven inference. We introduce a computationally efficient framework, called…

Machine Learning · Statistics 2019-12-02 Niklas Pfister , Stefan Bauer , Jonas Peters

Recent works exploring deep learning application to dynamical systems modeling have demonstrated that embedding physical priors into neural networks can yield more effective, physically-realistic, and data-efficient models. However, in the…

Neural and Evolutionary Computing · Computer Science 2020-11-30 Elliott Skomski , Jan Drgona , Aaron Tuor

Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and is usually approximated numerically by a superposition of…

Systems and Control · Electrical Eng. & Systems 2022-12-15 Charles A. Johnson , Shara Balakrishnan , Enoch Yeung

Deep networks are commonly used to model dynamical systems, predicting how the state of a system will evolve over time (either autonomously or in response to control inputs). Despite the predictive power of these systems, it has been…

Machine Learning · Computer Science 2020-01-20 Gaurav Manek , J. Zico Kolter