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Recent work showed that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs and observing state and control constraints can be reduced to quadratic programs (QP) by using control barrier functions…

Systems and Control · Electrical Eng. & Systems 2020-02-12 Wei Xiao , Calin Belta , Christos G. Cassandras

We study the ensemble Kalman filter (EnKF) algorithm for sequential data assimilation in a general situation, that is, for nonlinear forecast and measurement models with non-additive and non-Gaussian noises. Such applications traditionally…

Methodology · Statistics 2018-08-17 Weixuan Li , W. Steven Rosenthal , Guang Lin

In this article, we present a structured Kalman filter associated with the transformation matrix for observable Kalman canonical decomposition from conventional Kalman filter (CKF) in order to generate a more accurate time scale. The…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Yuyue Yan , Takahiro Kawaguchi , Yuichiro Yano , Yuko Hanado , Takayuki Ishizaki

Learning-based adaptation of Control Barrier Function (CBF) parameters offers a promising path toward safe autonomous navigation that balances conservatism with performance. Yet the accuracy of the underlying safety predictor is ultimately…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Jiachen Li , Shihao Li , Dongmei Chen

Recently channel state information (CSI) measurements from commercial multi input multi output (MIMO) WiFi systems have been ubiquitously used for different wireless sensing applications. However, the phase of the CSI realizations is…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Chu Li , Jeremy Brauer , Aydin Sezgin , Christian Zenger

Tracking with bistatic radar measurements is challenging due to the fact that the measurements are nonlinear functions of the Cartesian state. The converted measurement Kalman filter (CMKF) converts the raw measurement into Cartesian…

Signal Processing · Electrical Eng. & Systems 2020-04-03 Wang Sen , Bao Qinglong

Compared with linear time invariant systems, linear periodic system can describe the periodic processes arising from nature and engineering more precisely. However, the time-varying system parameters increase the difficulty of the research…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Jiachen Qian , Zhisheng Duan , Peihu Duan , Zhongkui Li

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

Numerical Analysis · Mathematics 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

The real-world applications in signal processing generally involve estimating the system state or parameters in nonlinear, non-Gaussian dynamic systems. The estimation problem may get even more challenging when there are physical…

Signal Processing · Electrical Eng. & Systems 2022-03-15 Nesrine Amor , Ghulam Rasool , Nidhal C. Bouaynaya

This paper investigates the distributed Kalman filtering (DKF) from distributed optimization viewpoint. Motivated by the fact that Kalman filtering is a maximum a posteriori estimation (MAP) problem, which is a quadratic optimization…

Systems and Control · Electrical Eng. & Systems 2022-08-22 Kunhee Ryu , Juhoon Back

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

Robotics · Computer Science 2025-03-11 Nadav Cohen , Itzik Klein

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

Optimization and Control · Mathematics 2023-04-05 Mitchell Black , Dimitra Panagou

Heavy tails is a common feature of filtering distributions that results from the nonlinear dynamical and observation processes as well as the uncertainty from physical sensors. In these settings, the Kalman filter and its ensemble version -…

Computation · Statistics 2023-10-16 Mathieu Le Provost , Ricardo Baptista , Jeff D. Eldredge , Youssef Marzouk

The Ensemble Kalman Filter (EnKF), as a fundamental data assimilation approach, has been widely used in many fields of the sciences and engineering. When the state variable is of high dimensional accompanied with high resolution…

Methodology · Statistics 2025-09-18 Shouxia Wang , Hao-Xuan Sun , Song Xi Chen

Ensemble Kalman filtering (EnKF) is an efficient approach to addressing uncertainties in subsurface groundwater models. The EnKF sequentially integrates field data into simulation models to obtain a better characterization of the model's…

Data Analysis, Statistics and Probability · Physics 2015-11-09 Boujemaa Ait-El-Fquih , Mohamad El Gharamti , Ibrahim Hoteit

Nowadays, with the development of multi-sensor networks, the distributed cubature Kalman filter is one of the well-known existing schemes for state estimation, for which the influence of the non-Gaussian noise, abnormal data, and…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Duc Viet Nguyen , Haiquan Zhao , Jinhui Hu

Natural disasters, such as hurricanes and typhoons, pose significant challenges to public safety and infrastructure. While government agencies rely on multi million dollar UAV systems for storm data collection and disaster response, smaller…

Dynamical Systems · Mathematics 2025-09-17 Ahmed A. Elgohary , Benjamin Gwinnell , Josh Augustine

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

Numerical Analysis · Mathematics 2016-09-21 Claudia Schillings , Andrew M. Stuart

Simulation-based Dynamic Traffic Assignment models have important applications in real-time traffic management and control. The efficacy of these systems rests on the ability to generate accurate estimates and predictions of traffic states,…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Haizheng Zhang , Ravi Seshadri , A. Arun Prakash , Constantinos Antoniou , Francisco C. Pereira , Moshe Ben-Akiva

Statistical signal processing based speech enhancement methods adopt expert knowledge to design the statistical models and linear filters, which is complementary to the deep neural network (DNN) based methods which are data-driven. In this…

Audio and Speech Processing · Electrical Eng. & Systems 2021-04-19 Wei Xue , Gang Quan , Chao Zhang , Guohong Ding , Xiaodong He , Bowen Zhou