Thursday , December 13 2018

Tuning of Multivariable Decentralized PID Controller Using State Transition Algorithm

G. SARAVANAKUMAR1, K. VALARMATHI2, M. PALLIKONDA RAJASEKARAN1, Seshadhri SRINIVASAN1, M. WILLJUICE IRUTHAYARAJAN3, Valentina E. BALAŞ4

1 Department of Instrumentation and control Engineering,
Kalasalingam University, Krishnankoil, Tamilnadu, India
saravana.control@gmail.com; mpraja83@gmail.com; seshucontrol@gmail.com
2 Department of Electronics and Communication Engineering,
PSR Engineering College, Sivakasi, India
krvalarmathi@yahoo.co.in

3 Department of Electrical and Electronic Engineering,
National Engineering College, Kovilpatti, India
m.willjuice@gmail.com
4 Department of Automation and Applied Informatics,
“Aurel Vlaicu” University of Arad, Romania
balas@drbalas.ro

Abstract: Implementation of State Transition Algorithm (STA) for the tuning of multivariable Proportional Integral Derivative (PID) controller is reported. Two input and two output binary distillation column plant model by Wood and Berry is considered as a benchmark. Simulations are performed for three cases such as multivariable PID controller with decoupler, without decoupler and multivariable PI controller without decoupler. Integral of Time weighted Absolute Error (ITAE) and Integral of Absolute Error (IAE) are chosen as objective functions for the first case while Integral of Absolute Error alone is chosen for remaining couple of cases. Simulations are carried out for 20 independent trials by STA and STA with SBX crossover. Comparison of fitness value and time domain parameters for three cases against PBPSO is reported. Statistical performance measures of STA and STA-SBX algorithms are presented and simulation result implies that STA is a potential algorithm which provides better fitness for all the three cases and has global search capability. SBX crossover is enhanced by the consistency of the algorithm.

Keywords:  Multivariable PID Controller Tuning, State Transition Algorithm, Distillation column, MIMO process.

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CITE THIS PAPER AS:
G. SARAVANAKUMAR, K. VALARMATHI, M. PALLIKONDA RAJASEKARAN, Seshadhri SRINIVASAN, M. WILLJUICE IRUTHAYARAJAN, Valentina E. BALAS, Tuning of Multivariable DecentralizedPID Controller Using State Transition Algorithm, Studies in Informatics and Control, ISSN 1220-1766, vol. 24 (4), pp. 367-378, 2015.

https://doi.org/10.24846/v24i4y201501