Uma nova condição quase-LMI para o projeto de controladores PID robustos para sistemas incertos SISO

Authors

  • Luiz H. M. Ferreira Departamento de Engenharia Elétrica, Instituto de Ciências Exatas e Aplicadas, Universidade Federal de Ouro Preto - UFOP, 35931-008, João Monlevade, MG, Brasil
  • Márcio F. Braga Departamento de Engenharia Elétrica, Instituto de Ciências Exatas e Aplicadas, Universidade Federal de Ouro Preto - UFOP, 35931-008, João Monlevade, MG, Brasil

Keywords:

PID controllers, D-Stability, Polytopic uncertainty, Interval uncertainty, LMI relaxation, Static output-feedback

Abstract

This work proposes to establish less conservative Linear Matrix Inequality (LMI) conditions for the synthesis of robust controllers for Single Input Single Output (SISO) uncertain systems, without superior order restrictions. The treatment of uncertainties was possible due to the use of appropriate system representation, allowing the decision variables to be independent of system parameters. The strategy developed constitutes a design condition for PID controllers for uncertain static output feedback systems, with performance guaranteed by the use of the concept of D-Stability, also counting on the presence of scalar parameters, whose variation allows exploring different performance specifications.

Downloads

Published

2024-10-18

Issue

Vol. 4 No. 1 (2024): CBA2024

Section

Articles