Observer – PID stabilization strategy for unstable first - order linear systems with large time delay / J. F. Márquez-Rubio in Industrial & engineering chemistry research, Vol. 51 N° 25 (Juin 2012)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 51 N° 25 (Juin 2012) . - pp. 8477-8487 Titre : Observer – PID stabilization strategy for unstable first - order linear systems with large time delay Type de document : texte imprimé Auteurs : J. F. Márquez-Rubio, Auteur ; B. del-Muro-Cuéllar, Auteur ; M. Velasco-Villa, Auteur Année de publication : 2012 Article en page(s) : pp. 8477-8487 Note générale : Industrial chemistry Langues : Anglais (eng) Mots-clés : Linear system First order Stabilization Observer Résumé : This work considers the stabilization and control of a class of unstable first-order linear systems subject to a relatively large input-output time delay. As a first step, a particular observer scheme is proposed in order to predict a specific internal signal in the process. Conditions to ensure the adequate prediction convergence of the signals are formally stated. In a second step, the internal predicted signal is used to implement classical P, PI, and PID controllers providing stability conditions for the resulting closed-loop system. The proposed control strategy allows one to address time delays as large as four times the unstable time constant of the open-loop system, in contrast with the reported related literature where the maximal bound has been stated until now as two times the unstable time constant of the open-loop system. The proposed observer-based control structure considers also the tracking of step reference signals and the rejection of input step disturbances. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26066775 [article] Observer – PID stabilization strategy for unstable first - order linear systems with large time delay [texte imprimé] / J. F. Márquez-Rubio, Auteur ; B. del-Muro-Cuéllar, Auteur ; M. Velasco-Villa, Auteur . - 2012 . - pp. 8477-8487. Industrial chemistry Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 51 N° 25 (Juin 2012) . - pp. 8477-8487 Mots-clés : Linear system First order Stabilization Observer Résumé : This work considers the stabilization and control of a class of unstable first-order linear systems subject to a relatively large input-output time delay. As a first step, a particular observer scheme is proposed in order to predict a specific internal signal in the process. Conditions to ensure the adequate prediction convergence of the signals are formally stated. In a second step, the internal predicted signal is used to implement classical P, PI, and PID controllers providing stability conditions for the resulting closed-loop system. The proposed control strategy allows one to address time delays as large as four times the unstable time constant of the open-loop system, in contrast with the reported related literature where the maximal bound has been stated until now as two times the unstable time constant of the open-loop system. The proposed observer-based control structure considers also the tracking of step reference signals and the rejection of input step disturbances. ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=26066775

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