Suboptimal event-triggered control for networked control systems

A. Molin, S. Hirche

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The advent of networked control systems urges the digital control design to incorporate communication constraints efficiently. In order to accommodate this requirement, this article studies the joint design of controller and event-trigger for linear stochastic systems in the presence of a resource-limited communication channel which exhibits packet dropouts and time-delay. The event-trigger situated at the sensor decides at every sampling instance, whether to send information over the communication channel to the controller. The design approach is formulated as a stochastic average-cost optimization problem, where the communication constraints are reflected as an additional cost penalty of the average transmission rate. Different conditions on the communication model are given where the joint optimal design can be split into a separate control and event-trigger design. Based on these results, two suboptimal design approaches are developed. By using drift criteria, stability guarantees of the closed-loop system for both approaches are derived in terms of bounded moment stability. Numerical simulations illustrate the efficacy of the event-triggered approach compared with optimal time-triggered controllers. This article studies the joint design of controller and event-trigger for linear stochastic systems in the presence of a resource-limited communication channel which exhibits packet dropouts and time-delay. The design approach is formulated as a stochastic average-cost optimization problem, where the communication constraints are reflected as an additional cost penalty of the average transmission rate. Different conditions on the communication model are given where the joint optimal design can be split into a separate control and event-trigger design. Based on these results, two suboptimal design approaches are developed and stability of the closed-loop system is shown in terms of bounded moment stability. Numerical simulations illustrate the efficacy of the event-triggered approach compared with optimal time-triggered controllers.

Original languageEnglish
Pages (from-to)277-289
Number of pages13
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume94
Issue number4
DOIs
StatePublished - Apr 2014

Keywords

  • Control over packet-switched communications
  • Drift criteria
  • Event-triggered control
  • Long-run average cost optimization
  • Networked control systems
  • Stochastic optimal control
  • Stochastic stability

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