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Event-triggered state estimation for cyber-physical systems with partially observed injection attacks

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In this study, an event-based estimator with partially observed injection attacks is investigated. Under a specified transmission schedule and partially observed injection attacks, we prove that the conditional distribution of the state is Gaussian with a Bayesian inference approach. Then, an event-triggered minimum mean square error estimation algorithm is acquired. Moreover, we show that the proposed optimal estimator is exponentially stable under certain conditions.

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References

  1. Han D, Mo Y, Wu J, et al. Stochastic event-triggered sensor schedule for remote state estimation. IEEE Trans Automat Contr, 2015, 60: 2661–2675

    Article  MathSciNet  MATH  Google Scholar 

  2. Weerakkody S, Mo Y, Sinopoli B, et al. Multi-sensor scheduling for state estimation with event-based, stochastic triggers. IFAC Proc Volumes, 2013, 46: 15–22

    Article  MATH  Google Scholar 

  3. Huang J, Shi D, Chen T. Energy-based event-triggered state estimation for hidden Markov models. Automatica, 2017, 79: 256–264

    Article  MathSciNet  MATH  Google Scholar 

  4. Wu J, Ren X, Han D, et al. Finite-horizon Gaussianity-preserving event-based sensor scheduling in Kalman filter applications. Automatica, 2016, 72: 100–107

    Article  MathSciNet  MATH  Google Scholar 

  5. Jia Q S, Tang J X, Lang Z. Event-based optimization with random packet dropping. Sci China Inf Sci, 2020, 63: 212202

    Article  MathSciNet  Google Scholar 

  6. Jia Q S, Wu J. On distributed event-based optimization for shared economy in cyber-physical energy systems. Sci China Inf Sci, 2018, 61: 110203

    Article  Google Scholar 

  7. Guo Z, Shi D, Quevedo D E, et al. Secure state estimation against integrity attacks: a Gaussian mixture model approach. IEEE Trans Signal Process, 2019, 67: 194–207

    Article  MathSciNet  MATH  Google Scholar 

  8. Li B. State estimation with partially observed inputs: a unified Kalman filtering approach. Automatica, 2013, 49: 816–820

    Article  MathSciNet  MATH  Google Scholar 

  9. Shi D, Chen T, Darouach M. Event-based state estimation of linear dynamic systems with unknown exogenous inputs. Automatica, 2016, 69: 275–288

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. U21A20477, 61722302), Liaoning Revitalization Talents Program (Grant No. XLYC1907140), Fundamental Research Funds for the Central Universities (Grant No. DUT22ZD402), and National Science and Technology Major Project (Grant No. J2019-V-0010-0105)

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Correspondence to Xudong Zhao.

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Liu, L., Zhao, X., Wang, B. et al. Event-triggered state estimation for cyber-physical systems with partially observed injection attacks. Sci. China Inf. Sci. 66, 169202 (2023). https://doi.org/10.1007/s11432-021-3260-0

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  • DOI: https://doi.org/10.1007/s11432-021-3260-0

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