Decentralized PID Controller Design for 3x3 Multivariable System using Heuristic Algorithms

Background/Objectives: The objective is to design decentralised PID Controller for 3x3 multivariable system using heuristic algorithms. Methods/Statistical analysis: It is very difficult to control Multivariable system is in the process industries due to the interaction between the process variables. It needs a decentrlised PID controller scheme for the effective control. Here, Ogunnaike and Ray distillation column is considered as an example for simulation. The PID controllers are tuned using using Firefly (FA) and Particle Swarm Optimization (PSO) algorithm for diagonal elements of the transfer function. Findings: From the Simulation it is observed that the performance of Firefly is better than Particle Swarm Optimization for the chosen process model in terms of Integral Square (ISE) and peak overshoot. Application/Improvements: This method of controller design can be used for other distillation column (Example: Wood-berry distillation column). Different optimization algorithm can be used for controller design (Ant Colony optimization algorithm).