Abstract
In this paper, we propose a new controller design method for decentralized systems. 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 concept that we named ‘virtual hierarchical order’. In the scheme, we characterize the stable equilibrium value of a probability matrix as the dense of the connection and determine the order of the subsystem. Multi-controllers are arranged according to the virtual hierarchical 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 variables to be the same as the controller structure, a desired controller is obtained. We show a design procedure of a structured controller. The validity of proposed methods is examined on a numerical model.
