Premium
Parameter estimation and stabilization for a wave equation with boundary output harmonic disturbance and non‐collocated control
Author(s) -
Guo Wei,
Guo BaoZhu,
Shao ZhiChao
Publication year - 2010
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1650
Subject(s) - backstepping , control theory (sociology) , disturbance (geology) , boundary (topology) , harmonic , mathematics , observer (physics) , wave equation , boundary value problem , mathematical analysis , adaptive control , computer science , control (management) , physics , biology , paleontology , quantum mechanics , artificial intelligence
This paper is concerned with the parameter estimation and stabilization of a one‐dimensional wave equation with harmonic disturbance suffered by boundary observation at one end and the non‐collocated control at the other end. An adaptive observer is designed in terms of measured velocity corrupted by harmonic disturbance with unknown magnitude. The backstepping method for infinite‐dimensional system is adopted in the design of the feedback law. It is shown that the resulting closed‐loop system is asymptotically stable. Meanwhile, the estimated parameter is shown to be convergent to the unknown parameter as time goes to infinity. Copyright © 2010 John Wiley & Sons, Ltd.