Auto-tuning Method for decentralized PID controller of TITO systems using firefly algorithm

The present work uses the Firefly Algorithm (FA) to design a decentralized PID controller for the TITO system. Generally, the difficulty arises in TITO systems is that if any one of the input changes then it’s an adverse effect on both the output responses. therefore; it causes a peak overshoot and takes more time to settle. To overcome this drawback, a new objective function is introduced in this paper. Here Both the PID controller parameters are tuned at the same time to avoid the multidimensional non-linear problem that might be simply resolved by the firefly algorithm with greater convergence fastness and low calculus time. The proposed method is compared with direct synthesis methods in simulation, the study shows the convincingness of the proposed method performance. Measured performance indices are optimal, and the effect of one input to another output is also small with minimal peak overshoot.