Conclusion
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.
References
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
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
Huang J, Shi D, Chen T. Energy-based event-triggered state estimation for hidden Markov models. Automatica, 2017, 79: 256–264
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
Jia Q S, Tang J X, Lang Z. Event-based optimization with random packet dropping. Sci China Inf Sci, 2020, 63: 212202
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
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
Li B. State estimation with partially observed inputs: a unified Kalman filtering approach. Automatica, 2013, 49: 816–820
Shi D, Chen T, Darouach M. Event-based state estimation of linear dynamic systems with unknown exogenous inputs. Automatica, 2016, 69: 275–288
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)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-021-3260-0