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Optimal control and filtering of discretized polytopic systems

Grant number: 14/25112-9
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: May 01, 2015
End date: July 31, 2015
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Pedro Luis Dias Peres
Grantee:Marcio Feliciano Braga
Host 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)

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Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
MORAIS, CECILIA F.; BRAGA, MARCIO F.; OLIVEIRA, RICARDO C. L. F.; PERES, PEDRO L. D.; IEEE. LMI-based design of H-infinity dynamic output feedback controllers for MJLS with uncertain transition probabilities. 2016 AMERICAN CONTROL CONFERENCE (ACC), v. N/A, p. 6-pg., . (14/25112-9, 14/22881-1)
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, . (14/22881-1, 14/25112-9)