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A note on the model reference adaptive control of linear parabolic systems with constant coefficients
Authors:Chaohua Jia
Affiliation:(1) St. Petersburg Institute for Informatics and Automation Russian Academy of Sciences 199178 St. Petersburg, Russia;(2) Faculty of Electrical Engineering Ruhr-Universität 44780 Bochum, Germany
Abstract:The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system with one constant coefficient is considered in this paper. Adaptive control law are obtained by Lyapunov redesign method. The energy method for parabolic systems and the Agmon’s inequality are applied in the analysis, which leads to a stronger result than that of Hong and Bentsman (Automatica, 1994).
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