Robust Sub-optimal Pole Assignment of Decentralized Actuator Type Large-scale Systems by the Aggregation Matrix with Robustness Test

Abstract

[[abstract]]This paper studies a method that is used to have control in decentralized actuator type large-scale systems by sub-optimal poles assignment. This type of system can he often seen in computer controlled systems such as electric power systems, communication networks, and aerospace systems. Due to that the fast responses of the subsystems die out a lot faster than the main plain in this type of system, the states of the subsystems can he ignored to simplify the system by singularly perturbation methodology. The optimal poles found are based on a reduced -order model, therefore, the poles are called robust sub-optimal poles. The Aggregation matrix will be used as an intermediary to achieve the robust sub-optimal poles assignment. Finally, three easy steps are proposed to complete the robust sub-optimal pole assignment. How robust is this control method can he compared by the dominant pole of the original system and the poles of the reduced-order systems after implementing close-loop feedbac