Matrix Inequalities with Scalars for Robust Filtering Design

• Grant number: 14/06408-4
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2014
• End date: 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.

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. 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., 2016-01-01. (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., 2017-01-01. (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. 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., 2018-01-01. (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.