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Kalman filtering and smoothing algorithms are used in many areas, including tracking and navigation, medical applications, and financial trend filtering. One of the basic assumptions required to apply the Kalman smoothing framework is that…

最优化与控制 · 数学 2014-03-21 Aleksandr Y. Aravkin , James V. Burke

Motivated by the need for accurate frequency information, a novel algorithm for estimating the fundamental frequency and its rate of change in three-phase power systems is developed. This is achieved through two stages of Kalman filtering.…

机器学习 · 统计学 2016-03-10 Sayed Pouria Talebi , Danilo P. Mandic

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…

机器学习 · 计算机科学 2026-03-10 Usman Akram , Haris Vikalo

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

系统与控制 · 电气工程与系统科学 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi

This paper presents methods for vehicle state estimation and prediction for autonomous driving. A roundabout is chosen to apply the methods and illustrate the results as autonomous vehicles have difficulty in handling roundabouts. State…

系统与控制 · 电气工程与系统科学 2023-04-26 Xinchen Li , Levent Guvenc , Bilin Aksun-Guvenc

Stability analysis of the Kalman filter under randomly lost measurements has been widely studied. We revisit this problem in a general continuous-time framework, where both the measurement matrix and noise covariance evolve as random…

系统与控制 · 电气工程与系统科学 2025-11-19 Xinyi Wang , Devansh R. Agrawal , Dimitra Panagou

It is known that Kalman-Bucy filter is stable with respect to initial conditions under the conditions of uniform complete controllability and uniform complete observability (Bishop et. al 2017, Ocone et. al 1996). In this paper, we prove…

最优化与控制 · 数学 2019-01-03 Anugu Sumith Reddy , Amit Apte , Sreekar Vadlamani

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

系统与控制 · 电气工程与系统科学 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

最优化与控制 · 数学 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

For additive actuator and sensor faults, we propose a systematic method to design a state-space fault estimation filter directly from Markov parameters identified from fault-free data. We address this problem by parameterizing a…

系统与控制 · 计算机科学 2017-08-31 Yiming Wan , Tamas Keviczky , Michel Verhaegen

We present a stochastic predictive controller for discrete time linear time invariant systems under incomplete state information. Our approach is based on a suitable choice of control policies, stability constraints, and employment of a…

最优化与控制 · 数学 2018-02-27 Prabhat Kumar Mishra , Debasish Chatterjee , Daniel E. Quevedo

This brief technical note elaborates three well-known state estimators, which are used extensively in practice. These are the rather old-fashioned extended Kalman filter (EKF) and the recently-designed cubature Kalman filtering (CKF) and…

系统与控制 · 计算机科学 2017-10-23 G. Yu. Kulikov , M. V. Kulikova

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

系统与控制 · 计算机科学 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

This work presents a scalable control framework based on nonlinear Model Predictive Control for high-dimensional dynamical systems. The proposed approach addresses the key challenges of model scalability and partial observability by…

流体动力学 · 物理学 2025-11-25 Luigi Marra , Onofrio Semeraro , Lionel Mathelin , Andrea Meilán-Vila , Stefano Discetti

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

机器学习 · 统计学 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

Optimal decision-making under partial observability requires reasoning about the uncertainty of the environment's hidden state. However, most reinforcement learning architectures handle partial observability with sequence models that have…

机器学习 · 计算机科学 2025-02-20 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

This work presents a technique to estimate on-line the inertia of a power system based on ambient measurements. The proposed technique utilizes the covariance matrix of these measurements and solves an optimization problem that fits such…

系统与控制 · 电气工程与系统科学 2023-01-18 Federico Bizzarri , Davide del Giudice , Samuele Grillo , Daniele Linaro , Angelo Brambilla , Federico Milano

In this paper, we propose linear operator theoretic framework involving Koopman operator for the data-driven identification of power system dynamics. We explicitly account for noise in the time series measurement data and propose robust…

信号处理 · 电气工程与系统科学 2019-03-19 Pranav Sharma , Bowen Huang , Umesh Vaidya , Venkatramana Ajjarapu

Consistent state estimation is challenging, especially under the epistemic uncertainties arising from learned (nonlinear) dynamic and observation models. In this work, we propose a set-based estimation algorithm, named Gaussian…

系统与控制 · 电气工程与系统科学 2022-02-28 Shen Li , Theodoros Stouraitis , Michael Gienger , Sethu Vijayakumar , Julie A. Shah

Many robotic sensor estimation problems can characterized in terms of nonlinear measurement systems. These systems are contaminated with noise and may be underdetermined from a single observation. In order to get reliable estimation…

系统与控制 · 计算机科学 2013-04-11 Greg Hager , Max Mintz