Memory filter and control design for discrete-time uncertain systems

• Grant number: 14/23074-2
• Support type: Scholarships abroad - Research Internship - Doctorate
• Effective date (Start): May 13, 2015
• Effective date (End): May 12, 2016
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal researcher: Pedro Luis Dias Peres
• Grantee: Luciano Antonio Frezzatto Santos
• Supervisor abroad: Maurício Carvalho de Oliveira
• Home Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Research place: University of California, San Diego (UC San Diego), United States
• Associated to the scholarship: 13/05957-1 - Stability and control of dynamical systems: uncertainty, constraints and polynomial models, BP.DR

Abstract

The aim of this project is to study problems of control and filter design with memory for discrete-time dynamical systems subjected to parametric uncertainties and non-linearities. The mathematical models to be investigated consider linear systems with time-varying uncertain parameters, linear systems with saturation and structural constraints in the system and in the controller or in the filter. The H2 and Hoo norms will be used as performance criteria for the conditions to be developed. The methodology is based on polynomial-dependent Lyapunov functions in the parameters, trying to formulate the problems as linear matrix inequality conditions whenever possible.The results will be illustrated through numerical simulations concerned with stability and control of models of discrete-time dynamical systems. (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; DE OLIVEIRA, MAURICIO; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D. Robust non-minimal order filter and smoother design for discrete-time uncertain systems. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, v. 27, n. 4, p. 661-678, MAR 2017. Web of Science Citations: 7.