H-infinity non-minimal filter design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays

Author(s)

Frezzatto, Luciano ^[1] ; Oliveira, Ricardo C. L. F. ^[2] ; Peres, Pedro L. D. ^[2]

Affiliation

^[1] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG - Brazil

^[2] Univ Estadual Campinas, Sch Elect & Comp Engn, UNICAMP, BR-13083852 Campinas, SP - Brazil

• Document type: Journal article
• Source: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS; v. 357, n. 1, p. 622-634, JAN 2020.
• Web of Science Citations: 2

Abstract

This paper addresses the problem of H-infinity fuzzy filter design in finite frequency intervals for discrete-time nonlinear systems subject to time-varying delays. Fuzzy filters whose order is greater (non-minimal) than the order of the system are synthesized by transforming the original time-delayed system into an equivalent switched nonlinear system. The design conditions are given in terms of sufficient parameterdependent linear matrix inequalities that can be solved through relaxations based on semi-definite programming The advantages of the proposed approach are illustrated through numerical examples and comparisons with other available techniques. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. (AU)

• 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