Design OFPI Controllers for Unstablemimo System Using Firefly Algorithm

In this paper, Proportional Integral (PI) controller is designed for unstable MIMO (Multi-Input Multi-Output) systems using Firefly Algorithm (FA). PI controllers are designed for the diagonal elements of transfer function for unstable first order plus time delay (FOPTD) systems. The main work of this paper is to design the PI controller with simplified decoupler for unstable TITO systems using firefly algorithm. The decoupler eliminates the interaction effects between the loops and thus gives two non-interacting independent loops. The performance assessment of the proposed controller design procedure is carried out using the heuristic methods, such as Firefly Algorithm, Particle Swarm Optimization (PSO) and also using ETF-s model and Direct Synthesis. The Proportional Integral controller with decouplers is designed for an example of TITO (Two-Input Two-Output) unstable systems which is considered to demonstrate the feasibility and effectiveness of the proposed method.