Summary
It is well known that linear SISO systems that can be rendered passive through constant output feedback can be adaptively stabilized through a single gain adaptation law. We revisit the dynamical behavior of such systems and exhibit through a bifurcation analysis a rich variety of potential asymptotic dynamics, for which we provide a control theoretic interpretation. This in turn leads us to question the actual adaptive control question and solution approach.
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© 1999 Springer-Verlag London Limited
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Mareels, I., Van Gils, S., Polderman, J.W., Ilchmann, A. (1999). Asymptotic Dynamics in Adaptive Gain Control. In: Frank, P.M. (eds) Advances in Control. Springer, London. https://doi.org/10.1007/978-1-4471-0853-5_2
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DOI: https://doi.org/10.1007/978-1-4471-0853-5_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1216-7
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