Abstract

GRANIZO, E.; AYALA, P.  and  BARRAGAN, M.. Uncoupling Continuous Time Systems through a Transfer Function Matrix Technique. Maskay [online]. 2018, vol.8, n.1, pp.1-6. ISSN 1390-6712.  https://doi.org/10.24133/maskay.v8i1.425.

Multivariable control systems have several inputs and several outputs, where each input controls more than one output and each output is controlled by more than one input. This is a feature called coupling and presents mathematical complications for solving and controlling such systems. The goal of this work is to develop a decoupling technique using a transfer function matrix for multiple-input multiple-output multivariable systems. The proposed technique consists in determining a compensator in such a way that the multivariate coupled system can become a set of multiple uncoupled single-input single output systems. With this transformation, each input only controls one output and each output is controlled by a single input, facilitating any control solution. The final developed technique uses a computational methodology to achieve the proposed objective. In order to demonstrate the efficiency of the implemented algorithm, an experimental validation is performed through mathematical simulations of different test plants.

Keywords : Multivariable systems; uncoupled systems; transfer function matrix..

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