Order reduction of uncertain models by means of LMI relaxations with scalar searches

• Grant number: 15/16600-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: November 01, 2015
• End date: October 31, 2017
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Ricardo Coração de Leão Fontoura de Oliveira
• Grantee: Gustavo Sales Mazzoccante
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 16/11841-4 - Order reduction of uncertain linear systems in frequency domain using LMI relaxations, BE.EP.MS

Abstract

The aim of this project is to study the problem of model reduction order and reduced order controller design for linear systems affected by time-invariant uncertain parameters, taking into account performance criteria such as the minimization of bounds to the H-infinity and H-2 norms. Both continuous and discrete-time systems will be considered. Strategies based on parameter-dependent Lyapunov functions will be adopted to solve the problems, providing existence conditions in terms of matrix inequalities that include scalar parameters. For fixed values of the scalars, the conditions become linear matrix inequalities (LMIs). Computational tools available in Matlab will be used to program the LMIs, together with parsers and solvers of public domain.

Academic Publications

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

MAZZOCCANTE, Gustavo Sales. Reduction of uncertain linear models using H-2, H-infinity and H-infinity norms in low frequencies by means of LMI relaxations. 2017. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação Campinas, SP.