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Centralized PI controllers for interacting multivariable processes by synthesis method.

V Vijay Kumar¹, V S R Rao, M Chidambaram

¹Department of Chemical Engineering, Indian Institute of Technology, Madras, Chennai-600036, India.

ISA Transactions

|March 13, 2012

Summary

This study presents two methods for designing centralized control systems for multi-input, multi-output (MIMO) processes. The relative normalized gain array method offers superior performance and reduced interactions compared to decentralized controllers.

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Area of Science:

Control Systems Engineering
Process Control
Automation

Background:

Designing effective control systems for multi-input, multi-output (MIMO) processes is challenging due to inherent interactions.
Existing decentralized controllers often struggle to adequately manage these interactions.
Centralized control offers a potential solution for improved process management.

Purpose of the Study:

To develop and evaluate novel methods for designing centralized controllers for MIMO processes.
To compare the performance of these new centralized controllers against existing decentralized approaches.
To investigate the efficacy of the relative gain array (RGA) and relative normalized gain array (RNGA) concepts in controller design.

Main Methods:

Two centralized controller design methods based on direct synthesis are proposed.
The inverse of the process transfer function matrix is approximated using the relative gain array (RGA) concept.
An improved method utilizes the relative normalized gain array (RNGA) and derives equivalent transfer functions.
The transpose of the effective transfer function approximates the process transfer function matrix inverse.

Main Results:

Simulation studies confirm the effectiveness of the proposed centralized control methods.
The developed centralized controllers demonstrate superior interaction reduction compared to recently reported decentralized controllers.
A centralized controller designed using the relative normalized gain array (RNGA) exhibits better performance than one designed using the relative gain array (RGA).

Conclusions:

The proposed direct synthesis-based methods provide effective centralized control for MIMO processes.
Centralized control, particularly using RNGA, offers significant advantages in managing process interactions over decentralized strategies.
The RNGA-based method represents an advancement in designing high-performance centralized controllers for complex systems.