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In this paper we present Hybrid iterative Linear Quadratic Estimation (HiLQE), an optimization based offline state estimation algorithm for hybrid dynamical systems. We utilize the saltation matrix, a first order approximation of the…

Robotics · Computer Science 2024-10-29 J. Joe Payne , James Zhu , Nathan J. Kong , Aaron M. Johnson

To comprehensively assess optical fiber communication system conditions, it is essential to implement joint estimation of the following four critical impairments: nonlinear signal-to-noise ratio (SNRNL), optical signal-to-noise ratio…

Signal Processing · Electrical Eng. & Systems 2023-08-29 Ting Jiang , Zheng Gao , Yizhao Chen , Zihe Hu , Ming Tang

Large-scale distributed systems such as sensor networks, often need to achieve filtering and consensus on an estimated parameter from high-dimensional measurements. Running a Kalman filter on every node in such a network is computationally…

Optimization and Control · Mathematics 2017-04-12 Mathias Hudoba de Badyn , Mehran Mesbahi

The stability of AC power grids relies on ancillary services that mitigate frequency fluctuations. The electromechanical inertia of large synchronous generators is currently the only resource to absorb frequency disturbances on sub-second…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Julian Fritzsch , Philippe Jacquod

In this paper we provide novel closed-form expressions enabling differentiation of any scalar function of the Kalman filter's outputs with respect to all its tuning parameters and to the measurements. The approach differs from the previous…

Optimization and Control · Mathematics 2023-04-03 Colin Parellier , Axel Barrau , Silvere Bonnabel

This paper presents a cost-effective inertial pedestrian dead reckoning method for the bipedal robot in the GPS-denied environment. Each time when the inertial measurement unit (IMU) is on the stance foot, a stationary pseudo-measurement…

Robotics · Computer Science 2025-08-18 Jingran Zhang , Zhengzhang Yan , Yiming Chen , Zeqiang He , Jiahao Chen

Autonomous vehicles have gained significant attention due to technological advancements and their potential to transform transportation. A critical challenge in this domain is precise localization, particularly in LiDAR-based map matching,…

Robotics · Computer Science 2025-01-07 Minoo Dolatabadi , Fardin Ayar , Ehsan Javanmardi , Manabu Tsukada , Mahdi Javanmardi

This paper introduces a computational framework to reconstruct and forecast a partially observed state that evolves according to an unknown or expensive-to-simulate dynamical system. Our reduced-order autodifferentiable ensemble Kalman…

Machine Learning · Statistics 2023-01-31 Yuming Chen , Daniel Sanz-Alonso , Rebecca Willett

We present a novel, integrated control framework designed to achieve seamless transitions among a spectrum of inverter operation modes. The operation spectrum includes grid-forming (GFM), grid-following (GFL), static synchronous compensator…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Alireza Askarian , Jaesang Park , Srinivasa Salapaka

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…

Optimization and Control · Mathematics 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

In this letter, we propose an iterative joint detection algorithm of Kalman filter (KF) and channel decoder for the sensor-to-controller link of wireless networked control systems, which utilizes the prior information of control system to…

Information Theory · Computer Science 2025-12-19 Jinnan Piao , Dong Li , Yiming Sun , Zhibo Li , Ming Yang , Xueting Yu

High-resolution temperature monitoring is essential for many engineering and scientific applications, but conventional sensors are limited by insufficient resolution and susceptibility to electromagnetic interference. Fiber-optic…

Optics · Physics 2026-04-28 Jingwen Yang , Long Chen , Haoliang Yu , Xiaofeng Jin , Jianxiang Miao , Jia Kong

Under conditions of high penetration of renewables, the low-voltage (LV) distribution network needs to be carefully managed. In such a scenario, an accurate real-time low-voltage power network model is an important prerequisite, which opens…

Optimization and Control · Mathematics 2019-06-19 Sergey Iakovlev , Robin J. Evans , Iven Mareels

This paper explores a time-varying version of weak-form market efficiency that is a key component of the so-called Adaptive Market Hypothesis (AMH). One of the most common methodologies used for modeling and estimating a degree of market…

Optimization and Control · Mathematics 2023-10-09 Maria Kulikova , Gennady Kulikov

Due to the energy crisis and environmental pollution, the installed capacity of inverter-based resources (IBRs) in power grids is rapidly increasing, and grid-following control (GFL) is the most prevalent at present. Meanwhile, grid-forming…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Yinhong Lin , Bin Wang , Qinglai Guo , Haotian Zhao , Hongbin Sun

In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the assumption of a fixed forward operator describing the observation model. In this…

Numerical Analysis · Mathematics 2024-09-26 Simon Weissmann , Neil K. Chada , Xin T. Tong

This paper derives a contact-aided inertial navigation observer for a 3D bipedal robot using the theory of invariant observer design. Aided inertial navigation is fundamentally a nonlinear observer design problem; thus, current solutions…

Robotics · Computer Science 2019-05-22 Ross Hartley , Maani Ghaffari Jadidi , Jessy W. Grizzle , Ryan M. Eustice

The implementation of fringe tracking for optical interferometers is inevitable when optimal exploitation of the instrumental capacities is desired. Fringe tracking allows continuous fringe observation, considerably increasing the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 J. Menu , G. Perrin , E. Choquet , S. Lacour

In robotics, designing robust algorithms in the face of estimation uncertainty is a challenging task. Indeed, controllers often do not consider the estimation uncertainty and only rely on the most likely estimated state. Consequently,…

Robotics · Computer Science 2023-05-22 Armand Jordana , Avadesh Meduri , Etienne Arlaud , Justin Carpentier , Ludovic Righetti

This article proposes a "cross-forming" control concept for grid-forming inverters operating against grid faults. Cross-forming refers to voltage angle forming and current magnitude forming. It differs from classical grid-forming and…

Systems and Control · Electrical Eng. & Systems 2024-11-20 Xiuqiang He , Maitraya Avadhut Desai , Linbin Huang , Florian Dörfler