A robust circle-criterion observer-based estimator for discrete-time nonlinear systems in the presence of ssensor attacks and measurement noise

Tianci Yang, Carlos Murguia, Margreta Kuijper, Dragan Nešić

Research output: Contribution to journalArticleAcademic

Abstract

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 propose an observer-based estimator, using a bank of circle-criterion observers, which provides a robust estimate of the system state in spite of sensor attacks and measurement noise. We first consider the attack-free case where there is measurement noise and we provide a design method for a robust circle-criterion observer. Then, we consider the case when a sufficiently small subset of sensors are subject to attacks and all sensors are affected by measurement noise. We use our robust circle-criterion observer as the main ingredient in building an estimator that provides robust state estimation in this case. Finally, we propose an algorithm for isolating attacked sensors in the case of bounded measurement noise. We test this algorithm through simulations.
Original languageEnglish
Article number1805.04242v2
Number of pages9
JournalarXiv
Publication statusPublished - 11 May 2018
Externally publishedYes

Bibliographical note

arXiv admin note: text overlap with arXiv:1806.06484

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