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This work considers the problem of calculating an interval-valued state estimate for a nonlinear system subject to bounded inputs and measurement errors. Such state estimators are often called interval observers. Interval observers can be…

Optimization and Control · Mathematics 2021-10-25 Stuart M. Harwood , Paul I. Barton

In this paper we propose a data-driven distributionally robust Model Predictive Control framework for constrained stochastic systems with unbounded additive disturbances. Recursive feasibility is ensured by optimizing over an linearly…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

Methodology · Statistics 2023-09-19 Archer Gong Zhang , Jiahua Chen

In Big Data environment, one pressing challenge facing engineers is to perform reliability analysis for a large fleet of heterogeneous repairable systems with covariates. In addition to static covariates, which include time-invariant system…

Applications · Statistics 2019-04-03 Xiao Liu , Rong Pan

Shallow Recurrent Decoder networks are a novel data-driven methodology able to provide accurate state estimation in engineering systems, such as nuclear reactors. This deep learning architecture is a robust technique designed to map the…

Computational Engineering, Finance, and Science · Computer Science 2025-10-15 Stefano Riva , Carolina Introini , Josè Nathan Kutz , Antonio Cammi

With the commitment to climate, globally many countries started reducing brownfield energy production and strongly opting towards green energy resources. However, the optimal allocation of distributed energy resources (DERs) in electrical…

Systems and Control · Electrical Eng. & Systems 2023-03-28 D Maneesh Reddy , Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

This paper introduces a stochastic hybrid system (SHS) framework in state space model to capture sensor, communication, and system contingencies in modern power systems (MPS). Within this new framework, the paper concentrates on the…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shuo Yuan , Le Yi Wang , George Yin , Masoud H. Nazari

Time-synchronized state estimation for reconfigurable distribution networks is challenging because of limited real-time observability. This paper addresses this challenge by formulating a deep learning (DL)-based approach for topology…

Machine Learning · Computer Science 2022-03-31 Behrouz Azimian , Reetam Sen Biswas , Shiva Moshtagh , Anamitra Pal , Lang Tong , Gautam Dasarathy

In this paper, we address the problem of distributed state estimation for a discrete-time, linear time-invariant system. Building on the framework proposed in [2], we exploit the Jordan canonical form of the system matrix to develop a…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Giulio Fattore , Maria Elena Valcher , Rui Gao , Guang-Hong Yang

This paper deals with a distributed state estimation problem for jointly observable multi-agent systems operated over various time-varying network topologies. The results apply when the system matrix of the system to be observed contains…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Shimin Wang , Martin Guay

The state estimation of continuous-time nonlinear systems in which a subset of sensor outputs can be maliciously controlled through injecting a potentially unbounded additive signal is considered in this paper. Analogous to our earlier work…

Optimization and Control · Mathematics 2020-08-31 Michelle S. Chong , Henrik Sandberg , Joao P. Hespanha

This chapter aspires to glean some of the recent advances in power system state estimation (PSSE), though our collection is not exhaustive by any means. The Cram{\'e}r-Rao bound, a lower bound on the (co)variance of any unbiased estimator,…

Systems and Control · Computer Science 2017-08-15 Vassilis Kekatos , Gang Wang , Hao Zhu , Georgios B. Giannakis

Traditional statistical optimization-based state estimation (DSSE) algorithms rely on detailed grid parameters and mathematical assumptions of all possible uncertainties. Furthermore, random data missing due to communication failures,…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Ying Zhang , Yihao Wang , Yuanshuo Zhang , Eric Larson , Di Shi , Fanping Sui

This paper examines the problem of state estimation in power distribution systems under low-observability conditions. The recently proposed constrained matrix completion method which combines the standard matrix completion method and power…

Optimization and Control · Mathematics 2020-06-09 Yajing Liu , April Sagan , Andrey Bernstein , Rui Yang , Xinyang Zhou , Yingchen Zhang

Distribution system end users are transforming from passive to active participants, marked by the push towards widespread adoption of edge-level Distributed Energy Resources (DERs). This paper addresses the challenges in distribution system…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Arun Kumar Karngala , Chanan Singh , Le Xie

Complex nonlinear dynamics are ubiquitous in many fields. Moreover, we rarely have access to all of the relevant state variables governing the dynamics. Delay embedding allows us, in principle, to account for unobserved state variables.…

Machine Learning · Computer Science 2022-04-27 Uttam Bhat , Stephan B. Munch

This paper presents a practical approach to utilizing emergency response resources (ERRs) and post-disaster available distributed energy resources (PDA-DERs) to improve the resilience of power distribution systems against natural disasters.…

Systems and Control · Electrical Eng. & Systems 2020-08-24 Santosh Sharma , Qifeng Li , Qiuhua Huang , Ahmad Tbaileh

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

Renewable energy is essential for energy security and global warming mitigation. However, power generation from renewable energy sources is uncertain due to volatile weather conditions and complex equipment operations. To improve…

Methodology · Statistics 2020-07-09 Yuchen Shi , Nan Chen

This paper pertains to the analysis and design of decentralized estimation schemes that make use of limited communication. Briefly, these schemes equip the sensors with scalar states that iteratively merge the measurements and the state of…

Systems and Control · Computer Science 2018-01-19 Andreea B. Alexandru , Sergio Pequito , Ali Jadbabaie , George J. Pappas