Input-to-state stabilization of nonlinear discrete-time systems with event-triggered controllers

Pengpeng Zhang, Tengfei Liu, Zhong Ping Jiang

Research output: Contribution to journalArticle

Abstract

This paper studies an event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the practically interesting situation where the controller update at step k is determined by the feedback information x(k−1) measured at step k−1. The presence of external disturbance makes it hard to predict the magnitude of x(k) based on x(k−1) and then to design a desired event-triggering data transmission mechanism. In this paper, refined tools of input-to-state stability (ISS) and the nonlinear small-gain theorem are developed to estimate the influence of external disturbances, before an ISS-induced design is proposed to solve the problem. The proposed solution leads to a new event-triggering data transmission mechanism, which drastically differs from the existing event-triggered control results.

Original languageEnglish (US)
Pages (from-to)16-22
Number of pages7
JournalSystems and Control Letters
Volume103
DOIs
StatePublished - May 1 2017

Keywords

  • Event-triggered control
  • Input-to-state stabilization
  • Nonlinear discrete-time systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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