Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function

In this paper, a control system with an extended simplified decoupled network is proposed for controlling the interactive multivariable processes. The decoupler is designed using cofactor matrix of the process and incorporated in the control loop which modifies the multivariable processes into multi...

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Hauptverfasser: R. Hanuma Naik, D.V. Ashok Kumar, P. Sujatha
Format: Artikel
Sprache:English
Veröffentlicht: Elsevier 2020-06-01
Schriftenreihe:Ain Shams Engineering Journal
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Online Zugang:http://www.sciencedirect.com/science/article/pii/S2090447919301352
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author R. Hanuma Naik
D.V. Ashok Kumar
P. Sujatha
author_facet R. Hanuma Naik
D.V. Ashok Kumar
P. Sujatha
author_sort R. Hanuma Naik
collection DOAJ
description In this paper, a control system with an extended simplified decoupled network is proposed for controlling the interactive multivariable processes. The decoupler is designed using cofactor matrix of the process and incorporated in the control loop which modifies the multivariable processes into multiple single loops. To design the PI/PID controller for each loop of MIMO processes independently, the Equivalent Transfer Function (ETF) of each loop is determined. The ETF is approximated using the static relative gains and the average propagation time between manipulated and controlled variables of the loops. Subsequently the PI/PID controller settings are calculated using SIMC tuning rules. This approach reduces the complexity in mathematical model approximation of decoupled process and improves the performance of the overall process. The maximum singular value uncertainty model is considered to ensure the robustness of the decoupled control system. Simulation results of different dimensional interactive MIMO processes are included.
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spelling doaj.art-c36b703877a245b4af3f1bfe6dba654b2022-12-21T18:56:34ZengElsevierAin Shams Engineering Journal2090-44792020-06-01112343350Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer functionR. Hanuma Naik0D.V. Ashok Kumar1P. Sujatha2Rajeev Gandhi Memorial College of Engineering and Technology, Nandyal, AP, India; Corresponding author.Rajeev Gandhi Memorial College of Engineering and Technology, Nandyal, AP, IndiaElectrical Engineering Department, JNT University Anantapuramu, Anantapuramu, AP, IndiaIn this paper, a control system with an extended simplified decoupled network is proposed for controlling the interactive multivariable processes. The decoupler is designed using cofactor matrix of the process and incorporated in the control loop which modifies the multivariable processes into multiple single loops. To design the PI/PID controller for each loop of MIMO processes independently, the Equivalent Transfer Function (ETF) of each loop is determined. The ETF is approximated using the static relative gains and the average propagation time between manipulated and controlled variables of the loops. Subsequently the PI/PID controller settings are calculated using SIMC tuning rules. This approach reduces the complexity in mathematical model approximation of decoupled process and improves the performance of the overall process. The maximum singular value uncertainty model is considered to ensure the robustness of the decoupled control system. Simulation results of different dimensional interactive MIMO processes are included.http://www.sciencedirect.com/science/article/pii/S2090447919301352Coefficient matchingDecouplerInteractionRARTARelative gainRNGA
spellingShingle R. Hanuma Naik
D.V. Ashok Kumar
P. Sujatha
Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
Ain Shams Engineering Journal
Coefficient matching
Decoupler
Interaction
RARTA
Relative gain
RNGA
title Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
title_full Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
title_fullStr Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
title_full_unstemmed Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
title_short Independent controller design for MIMO processes based on extended simplified decoupler and equivalent transfer function
title_sort independent controller design for mimo processes based on extended simplified decoupler and equivalent transfer function
topic Coefficient matching
Decoupler
Interaction
RARTA
Relative gain
RNGA
url http://www.sciencedirect.com/science/article/pii/S2090447919301352
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AT dvashokkumar independentcontrollerdesignformimoprocessesbasedonextendedsimplifieddecouplerandequivalenttransferfunction
AT psujatha independentcontrollerdesignformimoprocessesbasedonextendedsimplifieddecouplerandequivalenttransferfunction