A ROBUST APPROACH FOR THE DIGITAL PD SYNTHESIS BY USING INTERVAL PARAMETRIC CONTROL

LEILIANE BORGES CUNHA; ANDERSON  DE FRANÇA SILVA; ANTONIO  DA SILVA SILVEIRA; WALTER  BARRA JÚNIOR

doi:10.20906/CBA2022/762

LEILIANE BORGES CUNHA Universidade Federal do Pará
ANDERSON DE FRANÇA SILVA Universidade Federal do Pará
ANTONIO DA SILVA SILVEIRA Universidade Federal do Pará
WALTER BARRA JÚNIOR Universidade Federal do Pará

DOI: https://doi.org/10.20906/CBA2022/762

Keywords: Linear Programming, Chebyshev Theorem, Robust Pole Placement, Robust Control

Abstract

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 nd 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 specied by a characteristic polynomials family. For performance comparison, it was designed a classic PD controller and the results shows the good performance.