Optimal Deterministic Remote Clock Estimation in Real-Time Systems

  • Authors:
  • Heinrich Moser;Ulrich Schmid

  • Affiliations:
  • Embedded Computing Systems Group (E182/2), Technische Universität Wien, Vienna, Austria A-1040;Embedded Computing Systems Group (E182/2), Technische Universität Wien, Vienna, Austria A-1040

  • Venue:
  • OPODIS '08 Proceedings of the 12th International Conference on Principles of Distributed Systems
  • Year:
  • 2008

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Abstract

In an OPODIS'06 paper, we laid down the foundations of a real-time distributed computing model (RT-Model) with non-zero duration computing steps, which reconciles correctness proofs and real-time schedulability analysis of distributed algorithms. By applying the RT-Model to the well-known drift-free internal clock synchronization problem, we proved that classic zero step-time analysis sometimes provides too optimistic results. The present paper provides a first step towards worst-case optimal deterministic clock synchronization with drifting clocks in real-time systems, which is an open problem even in classic distributed computing. We define and prove correct an optimal remote clock estimation algorithm, which is a pivotal function in both external and internal clock synchronization, and determine a matching lower bound for the achievable maximum clock reading error in the RT-Model. Moreover, we show how to combine our optimal clock estimation algorithm with existing clock synchronization algorithms.