Sine-cosine-algorithm-based fractional order PID controller tuning for multivariable systems

The multivariable systems, used in several industrial processing systems, are controlled using multi-loop controllers. A novel fractional order proportional integral derivative (FOPID) controller design without decoupler for the multivariable system using an optimisation algorithm is proposed. The FOPID controller is employed in each loop of two-input-two-output (TITO) system and their parameters are tuned using sine-cosine algorithm (SCA). The proposed method eliminates the interaction of loops with optimal tuning of FOPID controller parameters. The proposed FOPID design for Wood-Berry TITO system is compared with the recent state-of-the-art literature to verify its overall efficiency. The simulation result demonstrates the superiority of the proposed controller over other controller designs for the TITO system.