Design of Robust LQR-Derivative Controllers for the D-Stabilization of Linear Systems
Marco Antonio Leite Beteto1; Edvaldo Assunção1; Marcelo Carvalho Minhoto Teixeira1; Emerson Ravazzi Pires da Silva2; Luiz Francisco Sanches Buzachero2; Rodrigo da Ponte Caun3
1 Universidade Estadual Paulista - UNESP (FEIS - Ilha Solteira); 2 Universidade Tecnológica Federal do Paraná (UTFPR - CP); 3 Universidade Tecnológica Federal do Paraná (UTFPR - AP)
Baixar PDF doi:10.20906/CPS/CBA2018-0590
Resumo
In this paper, sufficient conditions for the D-stabilization of linear time-invariant systems are proposed. The controllers are obtained by means of the resolution of the linear quadratic regulator (LQR) via linear matrix inequalities (LMIs), being that the formulation of the Riccati equation (ARE) is based on the state derivative feedback. At the end, practical implementations are performed to illustrate the efficiency of the proposed technique. During the implementations an uncertainty is considered in the model of the system and, even in the presence of uncertainties, the method proposed is effective.
Palavras-chave: D-stability; Linear Quadratic Regulator (LQR); Linear Matrix Inequalities (LMIs); State Derivative Feedback; Polytopic Uncertainties