Control of max-plus linear systems using feedback cycle shaping

Vinicius Mariano Gonçalves, Prashanth Krishnamurthy, Anthony Tzes, Farshad Khorrami

Research output: Contribution to journalArticlepeer-review

Abstract

For “Timed Event Graphs”, linear equations can be written in the max-plus algebra that describe the firing dynamics. In some cases, independent events/inputs can be used to influence the system dynamics in order to achieve a desired specification. In this setting, significant attention has been devoted to the mathematical development of controllers that achieve these desired specifications. In this article, a methodology is provided for solving a max-plus linear control problem as an extension of the result in Gonçalves et al. (2017). A condition is provided that induces into the system a periodic behavior in steady state and also shapes the response to comply with the specifications. Furthermore, the controller's causality is addressed.

Original languageEnglish (US)
Article number111980
JournalAutomatica
Volume171
DOIs
StatePublished - Jan 2025

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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