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This paper proposes a resilient state estimator for LTI discrete-time systems. The dynamic equation of the system is assumed to be affected by a bounded process noise. As to the available measurements, they are potentially corrupted by a…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Alexandre Kircher , Laurent Bako , Eric Blanco , Mohamed Benallouch

This paper discusses a general framework for designing robust state estimators for a class of discrete-time nonlinear systems. We consider systems that may be impacted by impulsive (sparse but otherwise arbitrary) measurement noise…

Optimization and Control · Mathematics 2026-05-13 Laurent Bako , Madiha Nadri , Vincent Andrieu , Qinghua Zhang

This paper proposes a nonlinear estimator for the robust reconstruction of process and sensor faults for a class of uncertain nonlinear systems. The proposed fault estimation method augments the system dynamics with an ultra-local (in time)…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

Motivated by the need to secure cyber-physical systems against attacks, we consider the problem of estimating the state of a noisy linear dynamical system when a subset of sensors is arbitrarily corrupted by an adversary. We propose a…

Optimization and Control · Mathematics 2015-04-24 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada

In this paper, an attack-resilient estimation algorithm is presented for linear discrete-time stochastic systems with state and input constraints. It is shown that the state estimation errors of the proposed estimation algorithm are…

Optimization and Control · Mathematics 2019-03-21 Wenbin Wan , Hunmin Kim , Naira Hovakimyan , Petros G. Voulgaris

This paper studies attack-resilient estimation of a class of switched nonlinear systems subject to stochastic noises. The systems are threatened by both of signal attacks and switching attacks. The problem is formulated as the joint…

Optimization and Control · Mathematics 2017-05-09 Hunmin Kim , Pinyao Guo , Minghui Zhu , Peng Liu

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

We address the problem of robust state estimation of a class of discrete-time nonlinear systems with positive-slope nonlinearities when the sensors are corrupted by (potentially unbounded) attack signals and bounded measurement noise. We…

Signal Processing · Electrical Eng. & Systems 2018-09-21 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

This paper addresses the problem of distributed resilient state estimation and control for linear time-invariant systems in the presence of malicious false data injection sensor attacks and bounded noise. We consider a system operator…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Takumi Shinohara , Karl H. Johansson , Henrik Sandberg

This paper studies the problem of secure state estimation of a linear time-invariant (LTI) system with bounded noise in the presence of sparse attacks on an unknown, time-varying set of sensors. In other words, at each time, the attacker…

Systems and Control · Electrical Eng. & Systems 2023-07-24 Zishuo Li , Muhammad Umar B. Niazi , Changxin Liu , Yilin Mo , Karl H. Johansson

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

This paper considers the problem of optimal estimation for linear system with the measurement vector subject to arbitrary corruption by an adversarial agent. This problem is relevant to cyber-physical systems where, due to the tight…

Optimization and Control · Mathematics 2019-08-09 Olugbenga Moses Anubi , Charalambos Konstantinou , Rodney Roberts

General nonlinear continuous-time systems are considered for which its state is estimated via a packet-based communication network. We assume that the system has multiple sensor nodes, affected by measurement noise, which can transmit at…

Systems and Control · Electrical Eng. & Systems 2021-12-09 Koen J. A. Scheres , Michelle S. Chong , Romain Postoyan , W. P. Maurice H. Heemels

State estimators are crucial components of anomaly detectors that are used to monitor cyber-physical systems. Many frequently-used state estimators are susceptible to model risk as they rely critically on the availability of an accurate…

Systems and Control · Electrical Eng. & Systems 2022-01-19 Venkatraman Renganathan , Benjamin J. Gravell , Justin Ruths , Tyler H. Summers

State estimation has a pivotal role in several applications, including but not limited to advanced control design. Especially when dealing with nonlinear systems state estimation is a nontrivial task, often entailing approximations and…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Riccardo Busetto , Valentina Breschi , Marco Forgione , Dario Piga , Simone Formentin

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

When measurements from dynamical systems are noisy, it is useful to have estimation algorithms that have low sensitivity to measurement noises and outliers. In the first set of results described in this paper we obtain optimal estimators…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Krishan Mohan Nagpal

This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution…

Dynamical Systems · Mathematics 2015-03-18 Wuhua Hu , Lihua Xie , Keyou You

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

Motivated by the need for real-time health monitoring of power distribution grids, we propose a secure state estimator design for continuous time Lur'e type systems with non-uniformly and synchronously sampled outputs which have potentially…

Optimization and Control · Mathematics 2026-04-28 Julian Gootzen , Michelle S. Chong
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