PSSE: Private Set-Valued State Estimation of Cyber-Physical Systems

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Abstract
This paper investigates set-valued state estimation of cyber-physical systems (CPSs) with unknown-but-bounded (UBB) noises. Note that constrained polynomial zonotopes (CPZs) are utilized to characterize both convex and non-convex sets of noises. However, privacy issues should be taken into account since out-sourcing the set-valued operations to the cloud-based node is required when collecting measurements from distributed sensors. In order to address this issue, two different set-valued estimation protocols employing partially homomorphic encryption (PHE) are proposed to guarantee the corresponding privacy. Further-more, it is proved that the proposed protocols can ensure privacy against sensor coalition, cloud coalition, and user coalition, respectively. Finally, numerical examples are provided to show the advantages and effectiveness of our results.
Funding Information
  • National Natural Science Foundation of China (61703286)

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