In this paper we consider the problem of robust performance for systems with unstructured and parametric perturbations. The parametric uncertainty is modeled through a single-input single-output interval system description, and the unstructured uncertainty through a norm bounded perturbation. For this type of parametric robust performance we show that in order to synthesize a controller that achieves robust performance for a family of interval systems it is sufficient to synthesize that controller for a much smaller subset of the interval family. Regardless of the number of uncertain parameters in the original problem, this reduced set is composed of thirty two one-parameter families of systems. A special class of controllers with stronger results is also presented.

M., D., Tesi, A., & Vicino, A. (1992). Robust stability of general interconnections of interval plants and unstructured norm bounded perturbations. SYSTEMS & CONTROL LETTERS, 19(5), 353-363 [10.1016/0167-6911(92)90085-7].

Robust stability of general interconnections of interval plants and unstructured norm bounded perturbations

TESI, ALBERTO;VICINO, ANTONIO
1992

Abstract

In this paper we consider the problem of robust performance for systems with unstructured and parametric perturbations. The parametric uncertainty is modeled through a single-input single-output interval system description, and the unstructured uncertainty through a norm bounded perturbation. For this type of parametric robust performance we show that in order to synthesize a controller that achieves robust performance for a family of interval systems it is sufficient to synthesize that controller for a much smaller subset of the interval family. Regardless of the number of uncertain parameters in the original problem, this reduced set is composed of thirty two one-parameter families of systems. A special class of controllers with stronger results is also presented.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/28106
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