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arXiv · 2105.03110

Self-Triggered Control for Near-Maximal Average Inter-Sample Time

Gabriel de Albuquerque Gleizer·Khushraj Madnani·Manuel Mazo Jr
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Abstract

Self-triggered control (STC) is a sample-and-hold control method aimed at reducing communications within networked-control systems; however, existing STC mechanisms often maximize how late the next sample is, and as such they do not provide any sampling optimality in the long-term. In this work, we devise a method to construct self-triggered policies that provide near-maximal average inter-sample time (AIST) while respecting given control performance constraints. To achieve this, we rely on finite-state abstractions of a reference event-triggered control, in which early triggers are also allowed. These early triggers constitute controllable actions of the abstraction, for which an AIST-maximizing strategy can be computed by solving a mean-payoff game. We provide optimality bounds, and how to further improve them through abstraction refinement techniques.

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Gabriel de Albuquerque Gleizer, Khushraj Madnani, Manuel Mazo Jr. 2021-05-07. Self-Triggered Control for Near-Maximal Average Inter-Sample Time. https://arxiv.org/abs/2105.03110

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