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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

H-2 and H-infinity fuzzy filters with memory for Takagi-Sugeno discrete-time systems

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Author(s):
Frezzatto, Luciano [1] ; Lacerda, Marcio J. [2] ; Oliveira, Ricardo C. L. F. [3] ; Peres, Pedro L. D. [3]
Total Authors: 4
Affiliation:
[1] Fed Univ Minas Gerais UFMG, Dept Elect Engn, BR-31270901 Belo Horizonte, MG - Brazil
[2] Fed Univ Sao Joao Rei UFSJ, Dept Elect Engn, BR-36307352 Sao Joao Del Rei, MG - Brazil
[3] Univ Estadual Campinas, UNICAMP, Sch Elect & Comp Engn, BR-13083852 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: FUZZY SETS AND SYSTEMS; v. 371, p. 78-95, SEP 15 2019.
Web of Science Citations: 0
Abstract

This paper is concerned with the problem of H-2 and H-infinity fuzzy filter design for Takagi-Sugeno (T-S) discrete-time systems. The novelty of the proposed method, in the context of T-S fuzzy systems, is the inclusion of an arbitrary number of past information (states and measurements) in the structure of the filter, producing a T-S fuzzy filter with memory. Linear matrix inequality relaxations based on multi-polynomial fuzzy Lyapunov functions are proposed for the filter design, providing filters that attain lower bounds for the H-2 and H-infinity performance criteria, when compared to other approaches available in the fuzzy literature that employ memoryless filters. The advantages of the proposed approach are illustrated by numerical examples. (C) 2018 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 14/03669-1 - Filtering of linear systems subject to Markov jumps and some class of nonlinear systems
Grantee:Márcio Júnior Lacerda
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 13/05957-1 - Stability and control of dynamical systems: uncertainty, constraints and polynomial models
Grantee:Luciano Antonio Frezzatto Santos
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 17/01771-1 - Controller and filtering design for fuzzy systems and hybrid systems through LMIs: Applications and extensions
Grantee:Luciano Antonio Frezzatto Santos
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 17/18785-5 - Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems
Grantee:Pedro Luis Dias Peres
Support Opportunities: Regular Research Grants