Observer-based stabilization of an Orr-Sommerfeld equation cascaded by both the Squire equation and ODE with boundary control

Jianping Huang, Hua Cheng Zhou

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, we study the boundary output feedback stabilization for an Orr-Sommerfeld equation cascaded by both the Squire equation and ordinary differential equations. The observer is proposed and the gain functions are found by the backstepping method. The observer-based controller is designed by using the certainty-equivalent principle. The existence and exponential stability of the closed-loop system are proved by calculating the system operator to generate a C0-semigroup and its eigenfunctions to form the Riesz basis approach.

Original languageEnglish
Pages (from-to)174-179
Number of pages6
JournalIFAC-PapersOnLine
Volume55
Issue number26
DOIs
StatePublished - 2022
Externally publishedYes
Event4th IFAC Workshop on Control of Systems Governed by Partial Differential Equations, CPDE 2022 - Kiel, Germany
Duration: 7 Sep 20229 Sep 2022

Keywords

  • Orr-Sommerfeld equation
  • Squire equation
  • boundary control
  • stabilization

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