Paper Info
Title
Static Boundary Feedback Stabilization Of An Anti-Stable Wave Equation With Both Collocated And Non-Collocated Measurements
Abstract
In this paper, we consider the stabilization of a wave equation with an unknown anti-stable injection on the left boundary and the control input on the right boundary, where there are both collocated and non-collocated measurements. A static output feedback control law is designed to stabilize the wave equation. The value ranges of the feedback gains are given, such that all eigenvalues of the closed-loop system are shown to be inside the left-half complex plane by applying the Nyquist criterion for distributed parameter systems. Then the exponential stability of the closed-loop system is established. Numerical simulations are presented to verify the effectiveness of the proposed feedback control law. (C) 2021 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.sysconle.2021.104967
SYSTEMS & CONTROL LETTERS
Keywords
DocType
Volume
Anti-stable wave equation, Non-collocated control, Nyquist criterion, Riesz basis
Journal
154
ISSN
Citations 
PageRank 
0167-6911
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Yu-Long Zhang112.40
Min Zhu2104.37
Donghai Li32710.05
Jun-Min Wang421929.95