Title: Stabilisation and control of unstable first-order linear delay systems

Authors: B. Del-Muro-Cuellar, J.F. Marquez-Rubio, M. Velasco-Villa, J. Alvarez-Ramirez

Addresses: Escuela Superior de Ingenieria Mecanica y Electrica, Unidad Culhuacan, Instituto Politecnico Nacional, Mexico DF, 04430, Mexico; CINVESTAV-IPN, Departamento Ing. Elec., Seccion de Mecatronica, A.P. 14-740, 07000, Mexico DF, Mexico. ' Escuela Superior de Ingenieria Mecanica y Electrica, Unidad Culhuacan, Instituto Politecnico Nacional, Mexico DF, 04430, Mexico; CINVESTAV-IPN, Departamento Ing. Elec., Seccion de Mecatronica, A.P. 14-740, 07000, Mexico DF, Mexico. ' Escuela Superior de Ingenieria Mecanica y Electrica, Unidad Culhuacan, Instituto Politecnico Nacional, Mexico DF, 04430, Mexico; CINVESTAV-IPN, Departamento Ing. Elec., Seccion de Mecatronica, A.P. 14-740, 07000, Mexico DF, Mexico. ' Departamento de Ingeniria de Procesos e Hidraulica, Universidad Autonoma Metropolitana-Iztapalapa, Mexico DF, Mexico

Abstract: This work considers the problem of stabilisation and control of first-order linear systems subject to input delay. As it is known, the stability analysis of this type of systems becomes difficult due to the term dead time considered. To solve the stabilisation problem as a first step are presented the conditions that assures the stability of the systems in closed-loop with a proportional feedback, these condition are derived with a novel methodology based on a discrete time approach. The stability conditions are used to design an observer (predicting) scheme that provides adequate convergent error. The proposed scheme results similar to the traditional Smith predictor that can be used on the case of stable systems. The observer scheme is complemented by the use of a PI compensator to follows step reference signals.

Keywords: linear time-delay systems; Smith predictor compensator; regulation problem; stability analysis; stabilisation; observer design; PI control; controller design.

DOI: 10.1504/IJCAT.2011.042236

International Journal of Computer Applications in Technology, 2011 Vol.41 No.1/2, pp.84 - 90

Available online: 01 Sep 2011 *

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