A ROBUST APPROACH FOR THE DIGITAL PD SYNTHESIS BY USING INTERVAL PARAMETRIC CONTROL
Leiliane Borges Cunha1; Anderson de França Silva2; Antonio da Silva Silveira1; Walter Barra Júnior1
1 Universidade Federal do Pará; 2 Instituto Federal de Educação, Ciência e Tecnologia do Pará
Baixar PDF doi:10.20906/CPS/CBA2018-0289
Resumo
This paper presents the design of a proportional-derivative controller (PD controller) by means of the theory of polynomials with interval roots, and applies them to the problem of robust pole placement technique for an interval system represented by a DC motor. It is formulated a optimization problem by Linear Programming approach integrated with the Chebyshev theorem, which incorporates additional constraints on the system and desired performance parameters and allow the designer to find the controller parameters that place closed-loop poles within desired intervals for plants with parameter uncertainties. The design purpose is the minimization of the overall deviation from the desired performance for the closed loop system, as specified by a characteristic polynomials family. For performance comparison, it was designed a classic PD controller and the results shows the good performance.
Palavras-chave: Linear Programming; Chebyshev Theorem; Robust Pole Placement; Robust Control