Optimal control and filtering of discretized polytopic systems

• Grant number: 14/25112-9
• Support type: Scholarships in Brazil - Post-Doctorate
• Effective date (Start): May 01, 2015
• Effective date (End): July 31, 2015
• Field of knowledge: Engineering - Electrical Engineering
• Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Pedro Luis Dias Peres
• Grantee: Marcio Feliciano Braga
• Home Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This work plan aims to investigate strategies for discretization and control and filter design, having as a performance criterion a quadratic cost for linear uncertain time-invariant and time-varying systems. The adopted methodology employs parameter dependent Lyapunov functions and relaxations of increasing precision, based on homogeneous polynomials. The design conditions are expressed in terms of convex optimization problems described in terms of linear matrix inequalities. The results will be illustrate through simulations of the strategy for stability analysis, control and filtering of dynamical systems affected by polytopic uncertainties. (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)

BRAGA, MARCIO F.; MORAIS, CECILIA F.; TOGNETTI, EDUARDO S.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D. Linear quadratic networked control of uncertain polytopic systems. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, v. 26, n. 11, p. 2299-2313, JUL 25 2016. Web of Science Citations: 2.