Abstract
In this paper, we mainly consider scalar linear systems whose transfer function is uncertain, but the coefficient vector of the numerator and the denominator is assumed to belong to a given convex compact set. Our main contribution is to give a convex parameterization of all controllers that simultaneously stabilize the system for all possible coefficient combinations. Finally, we note that the new parameterization allows us to optimize a certain robust performance objective by convex optimization.
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© 1992 Birkhäuser Verlag Basel
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Rantzer, A., Megretsky, A. (1992). A Convex Parameterization of Robustly Stabilizing Controllers. In: Mansour, M., Balemi, S., Truöl, W. (eds) Robustness of Dynamic Systems with Parameter Uncertainties. Monte Verità. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7268-3_27
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DOI: https://doi.org/10.1007/978-3-0348-7268-3_27
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7270-6
Online ISBN: 978-3-0348-7268-3
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