Stability and control of dynamical systems: uncertainty, constraints and polynomial models

• Grant number: 13/05957-1
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: August 01, 2013
• End date: July 31, 2017
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• 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
• Associated scholarship(s): 14/23074-2 - Memory filter and control design for discrete-time uncertain systems, BE.EP.DR

Abstract

The aim of this project is to develop new contributions for stability analysis and control design of dynamical systems. The mathematical models to be investigated consider polynomial dependence on the state, linear systems subject to nonlinearities, with uncertain parameters, with time-varying parameters, and structural constraints in the system and in the controller. The methodology is based on polynomial Lyapunov functions, in the parameters or in the system states, looking for, whenever possible, to formulate the problems as linear matrix inequality conditions. The results will be illustrated through numerical simulations concerned with stability and control of models of dynamical systems, both in continuous and in discrete-time. (AU)

Scientific publications

(5)

(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)

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)

FREZZATTO, LUCIANO; DE OLIVEIRA, MAURICIO C.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Gain-scheduled H-2 non-minimal order filtering design for linear parameter-varying discrete-time systems. IFAC PAPERSONLINE, v. 50, n. 1, p. 6-pg., 2017-01-01. (13/05957-1)

FREZZATTO, LUCIANO; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. H-infinity and H-2 memory static output-feedback control design for uncertain discrete-time linear systems. IFAC PAPERSONLINE, v. 51, n. 25, p. 6-pg., 2018-01-01. (13/05957-1, 17/18785-5, 17/01771-1)

FREZZATTO, LUCIANO; LACERDA, MARCIO J.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.. Robust H-2 and H-infinity memory filter design for linear uncertain discrete-time delay systems. Signal Processing, v. 117, p. 322-332, DEC 2015. (13/05957-1, 14/03669-1)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SANTOS, Luciano Antonio Frezzatto. Robust control and filtering design for discrete-time linear systems with dynamics enhancement. 2017. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação Campinas, SP.