Robust event-triggered MPC with guaranteed asymptotic bound and average sampling rate

F.D. Brunner, W.P.M.H. Heemels, F. Allgower

Research output: Contribution to journalArticleAcademicpeer-review

24 Citations (Scopus)
1 Downloads (Pure)

Abstract

We propose a robust event-triggered model predictive control (MPC) scheme for linear time-invariant discrete-time systems subject to bounded additive stochastic disturbances and hard constraints on the input and state. For given probability distributions of the disturbances acting on the system, we design event conditions such that the average frequency of communication between the controller and the actuator in the closed-loop system attains a given value. We employ Tube MPC methods to guarantee robust constraint satisfaction and a robust asymptotic bound on the system state. Moreover, we show that instead of a given periodically updated Tube MPC scheme, an appropriate event-triggered MPC scheme can be applied, with the same guarantees on constraints and region of attraction, but with a reduced number of average communications.

Original languageEnglish
Pages (from-to)5694-5709
Number of pages16
JournalIEEE Transactions on Automatic Control
Volume62
Issue number11
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Asymptotic stability
  • communication networks
  • control system synthesis
  • control systems
  • cost function
  • discrete-time systems
  • Lyapunov method
  • predictive control
  • predictive models

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