Event-driven control with deadline optimization for linear systems with stochastic delays

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Abstract

This work presents a novel control strategy for systems with actuation delays with known stochastic distribution, which improves upon previously proposed deadline-driven and event-driven strategies. In the event-driven strategy, the control input is immediately updated after the delay, whereas in the deadline-driven strategy, the actuation is updated in a periodic fashion, where the sampling period sets a deadline; if the delay is larger than this deadline, the actuation is not updated. Our method switches between these two strategies and guarantees better performance, in a linear-quadratic-Gaussian sense, than either method considered separately. An extension of the novel method with a deadline-optimization scheme is shown to improve the performance even further. Simulation results illustrate the effectiveness of the proposed methods.

Original languageEnglish
Article number8069000
Pages (from-to)1819-1829
Number of pages11
JournalIEEE Transactions on Control of Network Systems
Volume5
Issue number4
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • Data loss
  • dynamic programming
  • event-driven control
  • sampled-data control
  • self-triggered control
  • stochastic optimal control
  • stochastic time delay

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