Volume 48, Issue 6 e70026
Research Article

Modified Fractional-Order PID Controller Design for the Mixing Tank Process

Parmanand Maurya

Parmanand Maurya

Department of Chemical Engineering and Technology, Indian Institute of Technology (BHU), BHU Campus, Varanasi, 221005 India

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Nilanjan Paul

Nilanjan Paul

Department of Chemical Engineering and Technology, Indian Institute of Technology (BHU), BHU Campus, Varanasi, 221005 India

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Durga Prasad

Durga Prasad

Department of Chemical Engineering and Technology, Indian Institute of Technology (BHU), BHU Campus, Varanasi, 221005 India

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Ram Sharan Singh

Corresponding Author

Ram Sharan Singh

Department of Chemical Engineering and Technology, Indian Institute of Technology (BHU), BHU Campus, Varanasi, 221005 India

Email: [email protected]

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First published: 05 May 2025
Citations: 1

Abstract

Controlling multiple input–multiple output (MIMO) processes is challenging due to loop interactions. This study explores a modified fractional-order PID (MFOPID) controller for a two-input, two-output mixing tank system. MFOPID design involves individual loop controllers based on the Nelder–Mead algorithm. Relative gain array analysis optimizes loop interactions, complemented by a simplified decoupler. Comparative evaluation against Ziegler–Nichols, internal model control, and standard FOPID controllers demonstrates a superior performance of MFOPID controller offering smoother signals and demonstrating significant improvement in various performance indices. These findings underscore the efficacy of the MFOPID controller in enhancing control performance in MIMO systems.

Data Availability Statement

The data supporting this study's findings are available from the corresponding author upon reasonable request.

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