Abstract
For a given decoupling problem of control system, an equivalent problem is defined. An advantage of the equivalent problem is that a system is descriebed in a simple canonical form so that calculations for analyses can be greatly reduced. The general structure of decoupled control systems is investigated through the equivalent problem. The main results obtained in this paper are the following.
(1) The possibility of a system decoupling can be identified only by the output matrix C and the stage sequence.
(2) In a decoupled control system, zeros and the order of each subsystem are specified by the output matrix C and the stage sequence, while poles are specified by an attached state feedback control law.
(3) A necessary and sufficient condition is developed for system decoupling with preserving the complete observability.
