Uncoupling Continuous Time Systems through a Transfer Function Matrix Technique
Article Sidebar
Main Article Content
Abstract
Multivariable control systems have several inputs and outputs; each input controls more than one output, and each output is controlled by more than one input. This coupling feature presents mathematical complications for solving and controlling such systems. This work aims to develop a decoupling technique using a transfer function matrix for multiple-input, multiple-output multivariable systems. The proposed technique determines a compensator so 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. To demonstrate the efficiency of the implemented algorithm, an experimental validation is performed through mathematical simulations of different test plants.
Downloads
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish in this journal agree to the following terms: Authors retain the copyright and guarantee the journal the right to be the first publication of the work, as well as, licensed under a Creative Commons Attribution License that allows others share the work with an acknowledgment of the authorship of the work and the initial publication in this journal. Authors may separately establish additional agreements for the non-exclusive distribution of the version of the work published in the journal (for example, placing it in an institutional repository or publishing it in a book), with acknowledgment of its initial publication in this journal. Authors are allowed and encouraged to disseminate their work electronically (for example, in institutional repositories or on their own website) before and during the submission process, as it may lead to productive exchanges as well as further citation earliest and oldest of published works.
How to Cite
References
[2] Montgomerie G. A. and Nicholson H.; "Modern Approaches to Control System Desing"; Edited by Munro N; Published by The Institution of Electrical Engineers; London; 2015.
[3] Chen, Chi Tsong; "Introduction to Linear System Theoryc"; Editorial, Holt Rinehart and Winston, Inc; United States of America; 1970.
[4] Ogata, Katsuhiko; "Ingeniería de Control Moderno"; Cuarta Edición; Editorial Prentice - Hall Internacional; Buenos Aires; 2008.
[5] Melsa, James L. and JONES, Stephen K.; "Computer Programs for Computational Assistang in the Study of Linear Control Theory"; Second Edition; Editorial McGraw - Hill Book Company; United States of America; 1973.
[6] Frank, Ayres; "Matrices"; Colección Shaum; Editorial Mcgraw-Hill; México; 1992.
[7] Granizo, Evelio; "Programación Estructurada en Seudo-códigos, Teoría Y Ejercicios"; Quinta Edición; Quito; 2017.