Decentralized stabilizing control based on h-infinity control theory making use of lmi

摘要

In this paper, two decentralized controller designs based on H~infinity control theory are presented. In this controller design, LMI (Linear Matrix Inequality) is applied to obtain feedback gains for state feedback control. For an optimal linear regulator design, an index function of the quadratic form must be chosen. The question of how to decide weighting matrix in the quadratic index function used in Riccati equation arises. The problem is transformed into a pole allocation problem by making use of LMI. The effectiveness of the proposed method is shown by numerical simulations on a test system.