Output feedback stabilization of an unstable wave equation with observations subject to time delay View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-02

AUTHORS

Kunyi Yang, Xiang Ren, Jie Zhang

ABSTRACT

This paper focuses on boundary stabilization of a one-dimensional wave equation with an unstable boundary condition, in which observations are subject to arbitrary fixed time delay. The observability inequality indicates that the open-loop system is observable, based on which the observer and predictor are designed: The state of system is estimated with available observation and then predicted without observation. After that equivalently the authors transform the original system to the well-posed and exponentially stable system by backstepping method. The equivalent system together with the design of observer and predictor give the estimated output feedback. It is shown that the closed-loop system is exponentially stable. Numerical simulations are presented to illustrate the effect of the stabilizing controller. More... »

PAGES

99-118

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11424-016-5169-2

DOI

http://dx.doi.org/10.1007/s11424-016-5169-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1010113885


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