Controller and filtering design for fuzzy systems and hybrid systems through LMIs: Applications and extensions

• Grant number: 17/01771-1
• Support Opportunities: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): August 01, 2017
• Effective date (End): May 20, 2018
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Pedro Luis Dias Peres
• Grantee: Luciano Antonio Frezzatto Santos
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The study of stability analysis and the synthesis of controllers and filters for fuzzy systems and hybrid systems is the aim of this project. The project intends to analyze the influence of non-linearities, such as actuator saturation, on the dynamics of those systems, in addition to extend the developed methods to cope with the class of positive systems, important in the study of biological systems, for instance. Both continuous- and discrete-time systems are addressed, using the $\mathcal{H}_2$ and $\mathcal{H}_\infty$ norms as performance indices. Approaches based on homogeneous polynomial Lyapunov functions of arbitrary degree and convergent relaxations are employed, seeking, whenever possible, to formulate the addressed problems in terms of Linear Matrix Inequalities. The developed methods are evaluated by means of numerical simulations and the obtained results are compared with others available in the literature. (AU)

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)

FREZZATTO, LUCIANO; LACERDA, MARCIO J.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. H-2 and H-infinity fuzzy filters with memory for Takagi-Sugeno discrete-time systems. FUZZY SETS AND SYSTEMS, v. 371, p. 78-95, SEP 15 2019. (14/03669-1, 13/05957-1, 17/01771-1, 17/18785-5)

FREZZATTO, LUCIANO; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. H-infinity non-minimal filter design in finite frequency ranges for discrete-time Takagi-Sugeno fuzzy systems with time-varying delays. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, v. 357, n. 1, p. 622-634, JAN 2020. (17/01771-1, 17/18785-5)