H-Infinity Model Order Reduction of Uncertain Linear Systems Using Generalized KYP Lemma

This article presents a new LMI-based approach for the H-infinity model order reduction problem of continuous-time uncertain linear systems over frequency ranges. Differently from the previous methods in the literature, the approach is specially developed to treat uncertain systems, being able not only to reduce the order of the system, but to remove uncertain parameters. By means of the generalized Kalman-Yakubovich-Popov (gKYP) Lemma design conditions are provided in terms of LMIs relaxations associated to scalar searches and iterative procedures to assess low-frequency specifications. Numerical examples from the literature are used to illustrate the potentialities of the proposed approach when compared to existing methods.

Jaar van publicatie:2018

BOF-keylabel:ja

IOF-keylabel:ja

Authors from:Higher Education