Past Issues

Studies in Informatics and Control
Vol. 24, No. 4, 2015

Tuning of Multivariable Decentralized PID Controller Using State Transition Algorithm

G. SARAVANAKUMAR, K. VALARMATHI, M. PALLIKONDA RAJASEKARAN, Seshadhri SRINIVASAN, M. WILLJUICE IRUTHAYARAJAN, Valentina E. BALAS
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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