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Geometry of the state space is known to play a crucial role in many applications of Kalman filters, especially robotics and motion tracking. The Lie group-centric approach is currently very common, although a Riemannian approach has also…

最优化与控制 · 数学 2025-06-03 Mateusz Baran , Ronny Bergmann

Nonlinear model predictive control has become a popular approach to deal with highly nonlinear and unsteady state systems, the performance of which can however deteriorate due to unaccounted uncertainties. Model predictive control is…

最优化与控制 · 数学 2021-03-02 Eric Bradford , Lars Imsland

State estimation of dynamical systems from noisy observations is a fundamental task in many applications. It is commonly addressed using the linear Kalman filter (KF), whose performance can significantly degrade in the presence of outliers…

信号处理 · 电气工程与系统科学 2024-08-27 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

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…

信号处理 · 电气工程与系统科学 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

We investigate nonlinear state-space models without a closed-form transition density, and propose reformulating such models over their latent noise variables rather than their latent state variables. In doing so the tractable noise density…

统计计算 · 统计学 2013-12-11 Lawrence M. Murray , Emlyn M. Jones , John Parslow

While policy optimization algorithms have played an important role in recent empirical success of Reinforcement Learning (RL), the existing theoretical understanding of policy optimization remains rather limited -- they are either…

机器学习 · 计算机科学 2023-12-05 Qinghua Liu , Gellért Weisz , András György , Chi Jin , Csaba Szepesvári

A recursive state estimation procedure is derived for a linear time varying system with both parametric uncertainties and stochastic measurement droppings. This estimator has a similar form as that of the Kalman filter with intermittent…

系统与控制 · 计算机科学 2016-11-17 Tong Zhou

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

机器学习 · 统计学 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

系统与控制 · 电气工程与系统科学 2025-07-11 Abd El Mageed Hag Elamin Khalid

This paper introduces a unified approach for state estimation and control of nonlinear dynamic systems, employing the State-Dependent Riccati Equation (SDRE) framework. The proposed approach naturally extends classical linear quadratic…

系统与控制 · 电气工程与系统科学 2026-02-03 Azra Redzovic , Adnan Tahirovic

Reinforcement learning (RL) is a promising tool to solve robust optimal well control problems where the model parameters are highly uncertain, and the system is partially observable in practice. However, RL of robust control policies often…

机器学习 · 计算机科学 2022-07-14 Atish Dixit , Ahmed H. ElSheikh

We study the problem of robust reinforcement learning under adversarial corruption on both rewards and transitions. Our attack model assumes an \textit{adaptive} adversary who can arbitrarily corrupt the reward and transition at every step…

机器学习 · 计算机科学 2021-06-09 Xuezhou Zhang , Yiding Chen , Xiaojin Zhu , Wen Sun

We revisit the Bayesian online inference problems for the linear dynamic systems (LDS) under non- Gaussian environment. The noises can naturally be non-Gaussian (skewed and/or heavy tailed) or to accommodate spurious observations, noises…

统计计算 · 统计学 2015-04-23 Saikat Saha

This paper develops a robust extended Kalman filter to estimate the rotor angles and the rotor speeds of synchronous generators of a multimachine power system. Using a batch-mode regression form, the filter processes together predicted…

系统与控制 · 电气工程与系统科学 2021-04-06 Marcos Netto , Junbo Zhao , Lamine Mili

The filtering distribution captures the statistics of the state of a dynamical system from partial and noisy observations. Classical particle filters provably approximate this distribution in quite general settings; however they behave…

统计理论 · 数学 2025-02-10 Edoardo Calvello , Pierre Monmarché , Andrew M. Stuart , Urbain Vaes

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

系统与控制 · 电气工程与系统科学 2026-04-16 Moh Kamalul Wafi

This paper is concerned with offline reinforcement learning (RL), which learns using pre-collected data without further exploration. Effective offline RL would be able to accommodate distribution shift and limited data coverage. However,…

机器学习 · 统计学 2024-03-11 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi , Yuting Wei

In this paper, we propose a robust Kalman filtering framework for systems with probabilistic uncertainty in system parameters. We consider two cases, namely discrete time systems, and continuous time systems with discrete measurements. The…

系统与控制 · 电气工程与系统科学 2020-07-09 Sunsoo Kim , Vedang M. Deshpande , Raktim Bhattacharya

This paper develops a new nonlinear filter, called Moment-based Kalman Filter (MKF), using the exact moment propagation method. Existing state estimation methods use linearization techniques or sampling points to compute approximate values…

机器人学 · 计算机科学 2023-01-24 Yutaka Shimizu , Ashkan Jasour , Maani Ghaffari , Shinpei Kato

Modern reinforcement learning (RL) often faces an enormous state-action space. Existing analytical results are typically for settings with a small number of state-actions, or simple models such as linearly modeled Q-functions. To derive…

机器学习 · 计算机科学 2023-02-03 Sing-Yuan Yeh , Fu-Chieh Chang , Chang-Wei Yueh , Pei-Yuan Wu , Alberto Bernacchia , Sattar Vakili