Model reference adaptive control of discrete‐time piecewise linear systems |
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| Authors: | Mario di Bernardo Umberto Montanaro Josep M. Olm Stefania Santini |
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| Affiliation: | 1. Department of Systems and Computer Engineering, University of Naples Federico II, , Naples, 80125 Italy;2. Department of Engineering Mathematics, University of Bristol, , Bristol BS8 1TR, UK;3. Istituto Motori, National Research Council, , Naples, 80125 Italy;4. Department of Applied Mathematics IV, Universitat Politècnica de Catalunya, , 08860 Castelldefels, Spain |
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| Abstract: | This article presents a switched model reference adaptive controller for discrete‐time piecewise linear systems. In the spirit of the work by Landau in the late seventies, proof of asymptotic stability of the closed‐loop error system is obtained, recasting its dynamics as a feedback system and showing the feedforward and the feedback paths are both passive. The challenge is that both paths can be piecewise linear. Numerical results show excellent performance of the proposed controller even in the face of sudden variations of the plant parameters. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | discrete‐time systems model reference adaptive control piecewise linear systems passivity |
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