NDLI: Adaptive boundary control for heat equations with uncertain control coefficient and boundary disturbance

Content Provider	IEEE Xplore Digital Library
Author	Li Jian Liu Yungang
Copyright Year	2011
Description	Author affiliation: School of Control Science and Engineering, Shandong University, Jinan 250061, China (Li Jian; Liu Yungang)
Abstract	The adaptive state-feedback boundary control design is investigated for a class of heat equations with uncertain control coefficient and boundary disturbance. By choosing appropriate control Lyapunov function and parameter updating law, the adaptive controller is explicitly obtained, which only needs the measurement at the boundary of the system and guarantees that the original system state is L2[0, 1] stable (see the definition at the footnote of the page), and particularly, the state converges to zero when the boundary disturbance vanishes. It is worth emphasizing that, by skillfully choosing the initial condition of parameter updating law, the restriction on the initial condition of the system is moderately relaxed, which is usually described by the so-called compatible condition in the existing literature. A simulation example is presented to illustrate the effectiveness of the proposed method.
Starting Page	1003
Ending Page	1008
File Size	170679
Page Count	6
File Format	PDF
ISBN	9781457706776
ISSN	21612927
e-ISBN	9789881725592
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-07-22
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Chinese Assoc of Automati
Subject Keyword	Adaptive systems Control design Atmospheric measurements Heating Boundary control Uncertain control coefficient Mathematical model Adaptive stabilization Equations Lyapunov methods Heat equations Boundary disturbance
Content Type	Text
Resource Type	Article

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