Feedback control of linear decentralized control systems: an algebraic approach

An algebraic approach to decentralized feedback control problems is considered in the framework of large-scale linear continuous systems. The problem considered is to determine conditions under which a controllable and observable linear system can be made controllable and observable from the input and output variables of a given control channel by static feedback applied to the other control channels. Then observer-controller or dynamic compensation scheme can be employed at this control channel in a standard way to make the whole closed-loop system stable.