Stability analysis and control synthesis for positive discrete-time linear systems by means of linear matrix inequalities

• Grant number: 16/25273-8
• Support type: Scholarships in Brazil - Master
• Effective date (Start): April 01, 2017
• Effective date (End): February 28, 2019
• Field of knowledge: Engineering - Electrical Engineering
• Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal researcher: Pedro Luis Dias Peres
• Grantee: Amanda Spagolla
• Home Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The aim of this project is to study linear positive systems, that is, linear systems where the state and output are both nonnegative for any nonnegative initial state and nonnegative input. More precisely, the project intend to study conditions for stability analysis and synthesis of control laws for positive discrete-time linear systems based on Linear Matrix Inequalities (LMIs). The control synthesis takes into account parametric uncertainties in the model and performance criteria as the L1 and H-infinity norms. Parameter-dependent Lyapunov functions and strategies that introduce extra variables in the conditions are used as methodology, providing robust LMIs that can be solved through LMI relaxations. Comparative numerical examples involving other conditions from the literature will be conducted. (AU)

Academic Publications

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

SPAGOLLA, Amanda. Stability analysis and control synthesis for positive discrete-time linear systems by means of linear matrix inequalities. 2019. Master's Dissertation.