Automatic loop shaping in MIMO QFT using interval consistency based optimization technique

Robust Control of Muti Input Multi Output(MIMO) systems are important class of problems and their design is challenging one. This paper proposes an efficient algorithm for automatic synthesis of Quantitative Feedback Theory(QFT) based robust controllers. The proposed method uses Interval Analysis, hybrid optimization and consistency techniques. Hull consistency is used to prune the initial input domain by removing the inconsistent values which are not part of the solution. Hybrid optimization part combines interval global optimization and nonlinear local optimization methods. The proposed overall algorithm is demonstrated to design a robust MIMO QFT controller for uncertain Magnetic levitation System (ECP 750).