Control and filtering of dynamic systems with constraints on the structure by means of parameter-dependent Lyapunov functions.

• Grant number: 09/00564-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2009
• End date: February 28, 2011
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Principal Investigator: Pedro Luis Dias Peres
• Grantee: Renato Alves Borges
• Host Institution: Faculdade de Engenharia Elétrica e de Computação (FEEC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The subject of this research project is concerned with the study of control and stability analysis methods of dynamical systems. The main strategy to be used is based on the construction of Lyapunov functions in order to obtain analysis and design conditions described mainly in terms of linear matrix inequalities (LMIs). Specifically, the following problems will be addressed: synthesis of robust PID controllers aimed at possible applications in chemical industrial processes, filtering and control of time-delayed systems, linear systems with parametric uncertainty and non-linear elements (saturation, backlash, hysteresis, etc).