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Parametric Lyapunov Equation Based Event-Triggered and Self-Triggered Control of Discrete-Time Linear Systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper is considered with semi-global stabilization of discrete-time linear systems subject to actuator saturation based on event-triggered control (ETC) and self-triggered control (STC). First, a novel ETC algorithm is proposed by utilizing properties of the discrete-time parametric Lyapunov equation. Moreover, the corresponding STC, in which the next control law depends on the previous triggered states, is designed to avoid continuous monitoring system states. The designed control algorithms not only save energy but also provide a very clear relationship between the only design parameter and the minimal inter-event time, which can be easily used to change regularly inter-event times (IET) by adjusting the only design parameter and allows us to find easily a tradeoff between IET and the control performance. Finally, the designed ETC and STC are used to stabilize the inertia wheel pendulum system. Numerical simulations show the effectiveness of the proposed algorithms.

Original languageEnglish
Title of host publicationCCTA 2019 - 3rd IEEE Conference on Control Technology and Applications
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages866-869
Number of pages4
ISBN (Electronic)9781728127675
DOIs
StatePublished - Aug 2019
Event3rd IEEE Conference on Control Technology and Applications, CCTA 2019 - Hong Kong, China
Duration: 19 Aug 201921 Aug 2019

Publication series

NameCCTA 2019 - 3rd IEEE Conference on Control Technology and Applications

Conference

Conference3rd IEEE Conference on Control Technology and Applications, CCTA 2019
Country/TerritoryChina
CityHong Kong
Period19/08/1921/08/19

Keywords

  • Actuator saturation
  • Discrete-time linear systems
  • Event-triggered control
  • Parametric Lyapunov equation
  • Self-triggered control
  • Semi-global stabilisation

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