Abstract
Objective: To estimate centralized PID controller parameters for 4 outputs and 5 inputs crude distillation non-square system with RHP zeros process. Methods/Analysis: The Multi- Objective Particle Swam Optimization (MOPSO) algorithm is applied to determine the PID controller parameters for the considered distillation column process. Findings: The performance of the proposed controller is compared with two centralized controller schemes, Davison’s and Tanttu and Lieslehto methods. The Integral Square Error (ISE), Integral Absolute Error (IAE) and Integral of Time Absolute Error (ITAE) are chosen as performance indices. The simulation results prove that MOPSO tuned centralized controller gives the best performance when compared to other analytical techniques for both set point tracking and in disturbance rejection environment. Novelty: In practice, conventional PID controllers are tuned using classical methods, which require complex numerical calculations. In this paper, an attempt is made to fine tune the PID controller for a MIMO process using Multi Objective optimization technique and obtained challenging results as compared to conventional methods. Keywords: Nonsquare system; Centralized control; Multi Objective Particle Swam Optimization; PID controller
Highlights
Most of the industrial control processes are multivariable processes
To analyze the effectiveness of the centralized controller for a non-square process, we considered a crude distillation column with 5-input and 4-output process for simulation
Results are compared in terms of performance indices such as Integral Absolute Error (IAE), Integral Square Error (ISE) and Integral of Time Absolute Error (ITAE) values for all the three controller methods
Summary
Design of controller for a multivariable process is difficult because of the interaction effect among the loops. The interaction is mainly due to changes in one input effect with respect to several outputs. Distillation column is a major unit of operation in chemical, oil and gas processes. Design of controllers for the distillation column poses a tedious job in the process control instrumentation field. The interaction and location of transmission zeros are important in Multi-Input Multi-Output (MIMO) systems. A system is called non -minimum phase system when it has one or more right half plane (RHP) transmission zeros. These RHP zeros impose limitations on stability and controllability of the system [1,2].
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