Time scale analysis and synthesis for model predictive control

This paper presents time scale analysis and synthesis (control)methodology forModel Predictive Control (MPC). In thismethod, a higher-order plant with a two-time (slow and fast) scale character is analyzed (decoupled) into low-order slow and fast subsystems and sub-augmented systems. Then slow and fast subcontrollers based on MPC method are synthesized (designed) separately and a composite MPC is obtained. The methodology is illustrated for a high-order Wind Energy Conversion Systems (WECS) with Permanent Magnet Synchronous Generators (PMSG). The results show that the performance of the system with composite MPC is very close to that of the MPC of the original high-order system showing the superiority of the proposed method in terms of separation of dynamics, simplicity in designing model predictive controllers and reduced computational effort.