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Matrix Inequalities with Scalars for Robust Filtering Design

Grant number: 14/06408-4
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): August 01, 2014
Effective date (End): January 31, 2017
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Principal Investigator:Pedro Luis Dias Peres
Grantee:Lício Bruno Ribeiro Rodrigues Romão
Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):15/13135-7 - Robust finite range H-infinity filtering using LMIs with a scalar, BE.EP.MS

Abstract

The aim of this project is to study the problem of full order robust filter design for linear systems with time-invariant uncertain parameters belonging to a polytope, taking into account performance criteria such as the minimization of bounds to the H-infinity and H-2 norms of the transfer function from the exogenous noise input to the filter output. Both continuous and discrete-time systems will be considered. Strategies based on parameter-dependent Lyapunov functions will be adopted for the robust filter design, providing existence conditions in terms of matrix inequalities that include scalar parameteres. For fixed values of the scalars, the conditions become linear matrix inequalities (LMIs). Computational tools available in Matlab will be used to program the LMIs, together with parsers and solvers of public domain.

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
ROMAO, LICIO B. R. R.; DE OLIVEIRA, MAURICIO C.; PERES, PEDRO L. D.; OLIVEIRA, RICARDO C. L. F.; IEEE. 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. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., . (15/13135-7, 14/06408-4)
ROMAO, LICIO B. R. R.; FREZZATTO, LUCIANO; DE OLIVEIRA, MAURICIO C.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Non-minimal order low-frequency H-infinity filtering for uncertain discrete-time systems. IFAC PAPERSONLINE, v. 50, n. 1, p. 6-pg., . (13/05957-1, 14/06408-4)
ROMAO, LICIO B. R. R.; DE OLIVEIRA, MAURICIO C.; PERES, PEDRO L. D.; OLIVEIRA, RICARDO C. L. F.; IEEE. State-Feedback and Filtering Problems using the Generalized KYP Lemma. 2016 IEEE CONFERENCE ON COMPUTER AIDED CONTROL SYSTEM DESIGN (CACSD), v. N/A, p. 6-pg., . (15/13135-7, 14/06408-4)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
ROMÃO, Lício Bruno Ribeiro Rodrigues. Filter design for linear systems with H-2, H-infinity and H-infinity in frequency interval criteria by means of matrix inequalities. 2017. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação Campinas, SP.

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