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Stability, control and filtering for uncertain dynamical systems by means of linear matrix inequalities

Grant number: 19/10947-1
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): September 01, 2019
Effective date (End): August 31, 2022
Field of knowledge:Engineering - Electrical Engineering
Principal Investigator:Pedro Luis Dias Peres
Grantee:Ariádne de Lourdes Justi Bertolin
Home Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This PhD research project aims to develop new conditions of stability analysis and designof controllers and filters for dynamical systems represented by linear mathematical models with parametric uncertainties, time-invariant and time-varying, non-linearities such as saturation, dead zone, etc., focusing in particular on switched systems. In the context of control and filtering, the robust and scheduled gain (i.e., parameter-dependent) cases are considered, possibly with structural constraints (suitable to handle decentralization and output-feedback) and, as performance criteria, the H-2 and H-infinity norms. Continuous- and discrete-time models are investigated, as well as sampled data, by means of Lyapunov functions with polynomial dependence on the parameters that produce Linear Matrix Inequality (LMI) conditions. The results are illustrated by applications in mathematical models for engineering systems. (AU)