CONTROL OF MULTIPLE INPUT AND MULTIPLE OUTPUT INFINITE DIMENSIONAL SYSTEMS BASED ON MODAL REDUCTION AND FLATNESS THEORY

EDUARDO  B. R. F. PAIVA; EUGÊNIO  LIBÓRIO FEITOSA FORTALEZA; JOSÉ ONIRAM DE A. LIMAVERDE FILHO

doi:10.20906/CBA2022/786

EDUARDO B. R. F. PAIVA Department of Mechanical Engineering University of Brasília
EUGÊNIO LIBÓRIO FEITOSA FORTALEZA Department of Mechanical Engineering University of Brasília
JOSÉ ONIRAM DE A. LIMAVERDE FILHO Department of Mechanical Engineering University of Brasília

DOI: https://doi.org/10.20906/CBA2022/786

Keywords: Sistemas Multivalentes, Sistemas MIMO, Planicidade Diferencial

Abstract

This paper presents a control design for infinite dimensional systems with multiple inputs and multiple outputs. By using finite diferences method, diferential atness theory and model simplications, we propose to reduce the original problem to the control of a group of independent low order single input systems. The control strategy is illustrated with a heat difusion problem through numerical simulations