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Under What Conditions Does a Digital Shadow Track a Periodic Linear Physical System?

Published: 06 December 2021 Publication History

Abstract

The synchronization between a Digital Shadow (DS) and a Cyber-Physical System (CPS) is paramount to enable anomaly detection, predictive maintenance, what-if analysis, etc. Such synchronization means that a simulation reflects, as closely as possible, the states of the CPS. The simulation however, requires the complete initial state of the system to be known, which is often infeasible in real applications. In our work, we study the conditions under which knowing the initial state of the system is irrelevant for a simulation to eventually synchronize with the CPS. We apply traditional stability analysis to answer this question for linear periodic systems. We demonstrate the method using a simple but representative system, an incubator with a periodic control signal.

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      Published In

      cover image Guide Proceedings
      Software Engineering and Formal Methods. SEFM 2021 Collocated Workshops: CIFMA, CoSim-CPS, OpenCERT, ASYDE, Virtual Event, December 6–10, 2021, Revised Selected Papers
      Dec 2021
      354 pages
      ISBN:978-3-031-12428-0
      DOI:10.1007/978-3-031-12429-7

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      Springer-Verlag

      Berlin, Heidelberg

      Publication History

      Published: 06 December 2021

      Author Tags

      1. Digital Shadow
      2. Cyber-Physical System
      3. Stability
      4. Tracking

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