Sampled-data relay control of semilinear diffusion PDEs

Anton Selivanov, Emilia Fridman

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

Abstract

We consider sampled-data relay control of semilinear diffusion PDEs. Several control signals, subject to unknown bounded disturbances, enter the system through shape functions. The only information required for calculating the control signal is the sign of a weighted average of the state. First, for a nonlinearity from an arbitrary sector, we derive LMI-based conditions that determine how many controllers one should use to ensure local convergence to a bounded set. For a fixed domain of initial conditions the size of a limit set is proportional to a sampling period. Then we propose a switching procedure for controllers' gains that ensures convergence from an arbitrary domain to the same limit set.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4821-4826
Number of pages6
ISBN (Electronic)9781509018376
DOIs
StatePublished - 27 Dec 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 12 Dec 201614 Dec 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas
Period12/12/1614/12/16

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