Journal
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
Volume 15, Issue 7, Pages 745-766Publisher
WILEY-BLACKWELL
DOI: 10.1002/acs.699
Keywords
Burgers' equation; adaptive control; boundary control; Lyapunov design
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In this paper, we propose a fortified boundary control law and an adaptation law for Burgers' equation with unknown viscosity, where no a priori knowledge of a lower bound on viscosity is needed. This control law is decentralized, i.e., implementable without the need for central computer and wiring. Using the Lyapunov method, we prove that the closed-loop system, including the parameter estimator as a dynamic component, is globally H(1) stable and well posed. Furthermore, we show that the state of the system is regulated to zero by developing an alternative to Barbalat's Lemma which cannot be used in the present situation. Copyright (C) 2001 John Wiley & Sons, Ltd.
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