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Adaptive Control for Persistent Disturbance Rejection in Linear Infinite Dimensional Systems

Authors:
Mark J. Balas
Susan A. Frost

Keywords: Hilbert space; persistent disturbances; general linear diffusion systems; adaptive control

Abstract:
Given a linear continuous-time infinitedimensional plant on a Hilbert space and persistent disturbances of known waveform but unknown amplitude and phase, we show that there exists a stabilizing direct model reference adaptive control law with disturbance rejection and robustness properties. The plant is described by a closed, densely defined linear operator that generates a continuous semigroup of bounded operators on the Hilbert space of states. There is no state or disturbance estimation used in this adaptive approach. Our results are illustrated by adaptive control of general linear diffusion systems.

Pages: 11 to 17

Copyright: Copyright (c) IARIA, 2016

Publication date: June 26, 2016

Published in: conference

ISSN: 2308-3913

ISBN: 978-1-61208-483-1

Location: Lisbon, Portugal

Dates: from June 26, 2016 to June 30, 2016