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H-infinity filter design with low- and middle-frequency specifications for continuous-time linear systems: LMI conditions derived from two different extensions of the KYP lemma

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Author(s):
Romao, Licio B. R. R. ; de Oliveira, Mauricio C. ; Peres, Pedro L. D. ; Oliveira, Ricardo C. L. F. ; IEEE
Total Authors: 5
Document type: Journal article
Source: 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC); v. N/A, p. 6-pg., 2018-01-01.
Abstract

This paper addresses the full-order filtering problem with low- and middle-frequency H-infinity specifications for continuous-time linear systems. Two distinct extensions of the KYP Lemma are used to produce synthesis conditions capable to cope with the frequency specifications. A comparison between the results obtained with the two extensions in terms of numerical complexity and the bound provided for the H-infinity norm is made by means of numerical examples. The design conditions, given in the form of linear matrix inequalities, can also cope with polytopic time-invariant linear systems. Two main contributions distinguish this paper from previous results: i) a simpler condition to assure asymptotic stability of the filtered system; ii) a new synthesis condition based on an alternative extension of the KYP Lemma. (AU)

FAPESP's process: 15/13135-7 - Robust finite range H-infinity filtering using LMIs with a scalar
Grantee:Lício Bruno Ribeiro Rodrigues Romão
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 14/06408-4 - Matrix Inequalities with Scalars for Robust Filtering Design
Grantee:Lício Bruno Ribeiro Rodrigues Romão
Support Opportunities: Scholarships in Brazil - Master