A controller design method on decentralized systems

In this paper, we propose a new controller design method for decentralized system. The method includes an arrangement scheme of multi-controllers and a controller design procedure via the LMI method. The arrangement scheme is based on analysis of a transitional probability matrix, which is induced from a connection matrix. In the scheme, we characterize the stable equilibrium value of probability matrix as the dense of the connection and determines the order of the subsystem. Multi-controllers are arranged according to the priory order and constitute a decentralized control system. The controller design utilizes the function of LMI based methods, which enables one to put constraints on the form of the feedback controller. By applying a change of variables method and setting up the structure of variable to be the same as the controller structure, the desired controller is obtained. We show a design procedure of a stabilizing controller. The validity of proposed methods is examined on a numerical model.