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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


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)

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