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Motivated by the maneuvering target tracking with sensors such as radar and sonar, this paper considers the joint and recursive estimation of the dynamic state and the time-varying process noise covariance in nonlinear state space models.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Hua Lan , Jinjie Hu , Zengfu Wang , Qiang Cheng

We present an optimal control-based strategy to enhance the estimation of impulse-like disturbances in continuously monitored linear classical and quantum systems by exploiting non-equilibrium states. Using optimal estimation techniques for…

Quantum Physics · Physics 2026-05-13 Kaspar Schmerling , Andreas Kugi , Andreas Deutschmann-Olek

To obtain the accurate transient states of the big scale natural gas pipeline networks under the bad data and non-zero mean noises conditions, a robust Kalman filter-based dynamic state estimation method is proposed using the linearized gas…

Signal Processing · Electrical Eng. & Systems 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

A framework for tightly integrated motion mode classification and state estimation in motion-constrained inertial navigation systems is presented. The framework uses a jump Markov model to describe the navigation system's motion mode and…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Isaac Skog , Gustaf Hendeby , Manon Kok

Recent years have witnessed a growing interest in tracking algorithms that augment Kalman Filters (KFs) with Deep Neural Networks (DNNs). By transforming KFs into trainable deep learning models, one can learn from data to reliably track a…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Yehonatan Dahan , Guy Revach , Jindrich Dunik , Nir Shlezinger

Accurate state estimates are required for increasingly complex systems, to enable, for example, feedback control. However, available state estimation schemes are not necessarily real-time feasible for certain large-scale systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2024-10-24 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

Duality of control and estimation allows mapping recent advances in data-guided control to the estimation setup. This paper formalizes and utilizes such a mapping to consider learning the optimal (steady-state) Kalman gain when process and…

Systems and Control · Electrical Eng. & Systems 2023-03-08 Shahriar Talebi , Amirhossein Taghvaei , Mehran Mesbahi

Estimating the statistics of the state of a dynamical system, from partial and noisy observations, is both mathematically challenging and finds wide application. Furthermore, the applications are of great societal importance, including…

Numerical Analysis · Mathematics 2025-06-03 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

Inferring latent dynamics from multivariate time-series defined over topological cell complexes is crucial for capturing the complex, higher-order interactions inherent in real-world systems such as in water, sensor, and transportation…

Signal Processing · Electrical Eng. & Systems 2026-05-21 Chengen Liu , Rohan Money , Ting Gao , Mohammad Sabbaqi , Baltasar Beferull-Lozano , Elvin Isufi

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…

Many interventional surgical procedures rely on medical imaging to visualise and track instruments. Such imaging methods not only need to be real-time capable, but also provide accurate and robust positional information. In ultrasound…

State-space smoothing has found many applications in science and engineering. Under linear and Gaussian assumptions, smoothed estimates can be obtained using efficient recursions, for example Rauch-Tung-Striebel and Mayne-Fraser algorithms.…

Optimization and Control · Mathematics 2016-09-27 A. Y. Aravkin , J. V. Burke , L. Ljung , A. Lozano , G. Pillonetto

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

Dynamical Systems · Mathematics 2024-12-20 Daniel Sanz-Alonso , Nathan Waniorek

In this paper we are concerned with the error-covariance lower-bounding problem in Kalman filtering: a sensor releases a set of measurements to the data fusion/estimation center, which has a perfect knowledge of the dynamic model, to allow…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Niladri Das , Raktim Bhattacharya

We introduce a proximal version of the stochastic dual coordinate ascent method and show how to accelerate the method using an inner-outer iteration procedure. We analyze the runtime of the framework and obtain rates that improve…

Machine Learning · Statistics 2013-10-09 Shai Shalev-Shwartz , Tong Zhang

Prediction error and maximum likelihood methods are powerful tools for identifying linear dynamical systems and, in particular, enable the joint estimation of model parameters and the Kalman filter used for state estimation. A key…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Léo Simpson , Moritz Diehl

This paper presents a generic motion model to capture mobile robots' dynamic behaviors (translation and rotation). The model is based on statistical models driven by white random processes and is formulated into a full state estimation…

Robotics · Computer Science 2020-10-14 Wei Xu , Dongjiao He , Yixi Cai , Fu Zhang

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis , Andrew W. Smyth

The accurate estimation of the noise covariance matrix (NCM) in a dynamic system is critical for state estimation and control, as it has a major influence in their optimality. Although a large number of NCM estimation methods have been…

Systems and Control · Electrical Eng. & Systems 2023-08-16 Ajith Anil Meera , Pablo Lanillos

We consider the problem of learning error covariance matrices for robotic state estimation. The convergence of a state estimator to the correct belief over the robot state is dependent on the proper tuning of noise models. During inference,…

Robotics · Computer Science 2023-09-19 Mohamad Qadri , Zachary Manchester , Michael Kaess