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Safety-critical control is imperative for deploying autonomous systems in the real world. Control Barrier Functions (CBFs) offer strong safety guarantees when accurate system and sensor models are available. However, widely used additive,…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Rohan Walia , Mitchell Black , Andrew Schoer , Kevin Leahy

The Kalman filter provides an optimal estimation for a linear system with Gaussian noise. However when the noises are non-Gaussian in nature, its performance deteriorates rapidly. For non-Gaussian noises, maximum correntropy Kalman filter…

Optimization and Control · Mathematics 2023-02-07 Joydeb Saha , Shovan Bhaumik

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…

Rapid advances in designing cognitive and counter-adversarial systems have motivated the development of inverse Bayesian filters. In this setting, a cognitive 'adversary' tracks its target of interest via a stochastic framework such as a…

Optimization and Control · Mathematics 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

This paper demonstrates the feasibility of implementing Real-Time State Estimators (RTSEs) for Active Distribution Networks (ADNs) in Field-Programmable Gate Arrays (FPGAs) by presenting an operational prototype. The prototype is based on a…

Applications · Statistics 2017-12-27 Andreas Martin Kettner , Mario Paolone

This work develops a new multifidelity ensemble Kalman filter (MFEnKF) algorithm based on linear control variate framework. The approach allows for rigorous multifidelity extensions of the EnKF, where the uncertainty in coarser fidelities…

Numerical Analysis · Mathematics 2020-07-03 Andrey A Popov , Changhong Mou , Traian Iliescu , Adrian Sandu

In many signal processing applications of Kalman filter (KF) and its variants and extensions, accurate estimation of extreme states is often of great importance. When the observations used are uncertain, however, KF suffers from conditional…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Haojing Shen , Haksu Lee , Dong-Jun Seo

The paper presents a comparison of performance of two Kalman Filters: extended Kalman filter (EKF) and unscented Kalman filter (UKF) in a hybrid Bluetooth-Low-Energy-ultra-wideband (BLE-UWB) based localization system. In the system, the…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Marcin Kolakowski

State estimation in the presence of uncertain or data-driven noise distributions remains a critical challenge in control and robotics. Although the Kalman filter is the most popular choice, its performance degrades significantly when…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

The Kalman filter (KF) and its variants are among the most celebrated algorithms in signal processing. These methods are used for state estimation of dynamic systems by relying on mathematical representations in the form of simple…

This paper presents ECO-DKF, the first Event-Triggered and Certifiable Optimal Distributed Kalman Filter. Our algorithm addresses two major issues inherent to Distributed Kalman Filters: (i) fully distributed and scalable optimal estimation…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Eduardo Sebastián , Eduardo Montijano , Carlos Sagüés

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas

Significant efforts have gone into the development of statistical models for analyzing data in the form of networks, such as social networks. Most existing work has focused on modeling static networks, which represent either a single time…

Social and Information Networks · Computer Science 2014-11-03 Kevin S. Xu , Alfred O. Hero

It is known that the conventional estimators such as extended Kalman filter (EKF) and unscented Kalman filter (UKF) may provide favorable performance; However, they may not guarantee the robustness against model uncertainty and cyber…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Tohid Kargar Tasooji , Sakineh Khodadadi

In this paper, we study Stochastic Control Barrier Functions (SCBFs) to enable the design of probabilistic safe real-time controllers in presence of uncertainties and based on noisy measurements. Our goal is to design controllers that bound…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Shakiba Yaghoubi , Georgios Fainekos , Tomoya Yamaguchi , Danil Prokhorov , Bardh Hoxha

This paper is concerned with sequential filtering based stochastic optimization (FSO) approaches that leverage a probabilistic perspective to implement the incremental proximity method (IPM). The present FSO methods are derived based on the…

Machine Learning · Computer Science 2020-01-08 Bin Liu

Nonlinear models are known to provide excellent performance in real-world applications that often operate in non-ideal conditions. However, such applications often require online processing to be performed with limited computational…

Machine Learning · Computer Science 2024-10-28 Danilo Comminiello , Alireza Nezamdoust , Simone Scardapane , Michele Scarpiniti , Amir Hussain , Aurelio Uncini

In this paper, we continue to study the derivative-free extended Kalman filtering (DF-EKF) framework for state estimation of continuous-discrete nonlinear stochastic systems. Having considered the Euler-Maruyama and It\^{o}-Taylor…

Numerical Analysis · Mathematics 2024-03-08 Maria V. Kulikova , Gennady Yu. Kulikov

This paper introduces a Gaussian Bayesian Network-based Extended Kalman Filter (GBN-EKF) for non-linear state estimators on stiff and ill-conditioned continuous-discrete stochastic systems, with a further analysis on systems with…

Optimization and Control · Mathematics 2025-11-05 Priyank Behera , C. Robert Kenley

This paper proposes a joint acoustic echo cancellation (AEC) and speech dereverberation (DR) algorithm in the short-time Fourier transform domain. The reverberant microphone signals are described using an auto-regressive (AR) model. The AR…

Sound · Computer Science 2023-02-10 Ziteng Wang , Yueyue Na , Biao Tian , Qiang Fu
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