Stabilization of Burgers' equation by constrained control

Wen Kang, Emilia Fridman

Research output: Contribution to journalConference articlepeer-review

Abstract

The work addresses constrained control of Burgers' equation by using distributed in space point actuation and measurements. An observer-based distributed-in-domain point control law is suggested to stabilize the system, where the controller employs averaged values of the observer. Constructive conditions are derived to ensure that the resulting closed-loop system is regionally exponentially stable. A numerical example demonstrates the efficiency of the results.

Original languageEnglish
Pages (from-to)7497-7502
Number of pages6
JournalIFAC-PapersOnLine
Volume53
Issue number2
DOIs
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020

Keywords

  • Burgers' equation
  • Constrained control
  • Point actuation

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