Proportional-Integral Observer Design for Uncertain Time-Delay Systems Subject to Deception Attacks: An Outlier-Resistant Approach

This article deals with the proportional-integral observer (PIO) design problem for a class of linear systems with distributed time delays and randomly occurring parameter uncertainties. The measurement signals, transmitted from the sensors to the observer, might suffer from the randomly occurring d...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 8; pp. 5152 - 5164
Main Authors Zhao, Di, Wang, Zidong, Han, Qing-Long, Wei, Guoliang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Delay effects
Delays
Distributed time delays
Estimation error
Linear systems
Observers
outlier-resistant state estimation
Outliers (statistics)
Parameter uncertainty
proportional-integral observer (PIO)
Random variables
randomly occurring deception attacks (RODAs)
randomly occurring parameter uncertainties (ROPUs)
Security
Technological innovation
Time delay systems
Uncertain systems
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Abstract This article deals with the proportional-integral observer (PIO) design problem for a class of linear systems with distributed time delays and randomly occurring parameter uncertainties. The measurement signals, transmitted from the sensors to the observer, might suffer from the randomly occurring deception attacks. The random occurrences of parameter uncertainties and deception attacks are governed by two series of Bernoulli random variables with known probability distributions. An outlier-resistant PIO is developed by introducing an innovation saturation mechanism for the sake of alleviating the adverse effects induced by the deception attacks on the estimation performance. The purpose of the addressed problem is to design a PIO that is capable of guaranteeing the mean-square boundedness of the estimation errors while achieving the desired security level. The desired PIO gain is designed by solving a matrix inequality and the validity of the results obtained is shown by a numerical simulation example.
AbstractList This article deals with the proportional-integral observer (PIO) design problem for a class of linear systems with distributed time delays and randomly occurring parameter uncertainties. The measurement signals, transmitted from the sensors to the observer, might suffer from the randomly occurring deception attacks. The random occurrences of parameter uncertainties and deception attacks are governed by two series of Bernoulli random variables with known probability distributions. An outlier-resistant PIO is developed by introducing an innovation saturation mechanism for the sake of alleviating the adverse effects induced by the deception attacks on the estimation performance. The purpose of the addressed problem is to design a PIO that is capable of guaranteeing the mean-square boundedness of the estimation errors while achieving the desired security level. The desired PIO gain is designed by solving a matrix inequality and the validity of the results obtained is shown by a numerical simulation example.
Author Wei, Guoliang
Zhao, Di
Han, Qing-Long
Wang, Zidong
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  organization: College of Science, University of Shanghai for Science and Technology, Shanghai, China
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SubjectTerms Delay effects
Delays
Distributed time delays
Estimation error
Linear systems
Observers
outlier-resistant state estimation
Outliers (statistics)
Parameter uncertainty
proportional-integral observer (PIO)
Random variables
randomly occurring deception attacks (RODAs)
randomly occurring parameter uncertainties (ROPUs)
Security
Technological innovation
Time delay systems
Uncertain systems
Title Proportional-Integral Observer Design for Uncertain Time-Delay Systems Subject to Deception Attacks: An Outlier-Resistant Approach
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