Switching Control of 2-D Kuramoto-Sivashinsky Equation under Averaged Measurements

Jing Zhang, Wen Kang*

*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This paper deals with the switching control design of Kuramoto-Sivashinsky equation (KSE) in two-dimensional (2-D) rectangular domain Ω. It is supposed that Ω is divided into N subdomains and the discrete-time averaged measurements are available. Under the distributed sensors and actuators in space, the stabilization of 2-D KSE by switching is studied where only one pair of actuator and sensor is active during a certain interval of time (or only one pair of actuator and sensor is employed to move in the spatial domain). In the latter case, the moving time of actuator-sensor pair is considered as an additional switching between the open-loop system and the closed-loop switched system. Sufficient conditions are established in terms of linear matrix inequalities (LMIs) to ensure regional stability of the closed-loop system.

Original languageEnglish
Title of host publicationProceedings - 2023 IEEE 6th International Conference on Industrial Cyber-Physical Systems, ICPS 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350311259
DOIs
Publication statusPublished - 2023
Event6th IEEE International Conference on Industrial Cyber-Physical Systems, ICPS 2023 - Wuhan, China
Duration: 8 May 202311 May 2023

Publication series

NameProceedings - 2023 IEEE 6th International Conference on Industrial Cyber-Physical Systems, ICPS 2023

Conference

Conference6th IEEE International Conference on Industrial Cyber-Physical Systems, ICPS 2023
Country/TerritoryChina
CityWuhan
Period8/05/2311/05/23

Keywords

  • 2-D Kuramoto-Sivashinsky equation
  • sampled-data control
  • switching control

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