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An Analytic Characterization of a Stabilizing Feedback for LTI Plants

Peters, Andrés A. and Oyarzún, Diego A. and Silva, Eduardo I. and Salgado, Mario E. (2009) An Analytic Characterization of a Stabilizing Feedback for LTI Plants. In: Proceedings of the European Control Conference, Budapest, Hungary, August 23-26 2009. EUCA, pp. 231-235. ISBN 9789633113691

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Abstract

The characterization of all stabilizing controllers via the Youla Parameterization requires prior knowledge of one stabilizing feedback. This task is trivial in the case of stable plants. In the unstable case, one needs to use a suitable design technique to obtain such a stabilizing controller. The resulting controller is usually not an explicit function of plant dynamical features. In this paper, we propose a stabilizing controller design such that the sensitivity function can be expressed as an explicit function of the non-minimum phase zeros, time delays, and unstable poles of the plant (and their directions in the multiple-input multiple-output case). These dynamical features are known to impose fundamental limitations on control performance. The results in this paper highlight their relevance since they are shown to be the minimum information required to build a stabilizing controller.

Item Type: Book Section
Additional Information: The second author gratefully acknowledges the support of Science Foundation Ireland (SFI) under Research Professor Award 03/RPI?1382. The other authors are grateful for the support provided by UTFSM and Fondecyt-Chile through grant 1080274.
Keywords: Discrete-time LTI systems; Youla parameterization; stabilization;
Subjects: Science & Engineering > Electronic Engineering
Science & Engineering > Hamilton Institute
Item ID: 2509
Depositing User: Hamilton Editor
Date Deposited: 27 Apr 2011 14:59
Journal or Publication Title: Proceedings of the European Control Conference
Publisher: EUCA
Refereed: Yes
URI:

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