Event-triggered control for linear time-varying systems using a positive systems approach

Frederic Mazenc, Michael Malisoff, Corina Barbalata, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review


This paper presents a new design for the event-triggered output feedback control of uncertain linear time-varying systems. Departing from the traditional treatments of event-triggered linear time-invariant systems, it is shown that factoring of fundamental solutions as products of solutions of matrix differential equations, together with small-gain arguments and the notions of interval observers and positive systems, lead to a new class of robust event-triggered output-feedback controllers. A key innovation is our use of new event triggers, which use vectors of absolute values instead of the usual Euclidean 2-norms. An illustrative example of a curve tracking system from marine robotics validates the efficacy of the proposed design scheme.

Original languageEnglish (US)
Article number105131
JournalSystems and Control Letters
StatePublished - Mar 2022


  • Event-triggered
  • Observer
  • Positive systems
  • Stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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