最大非可観測システムの安定性とその応用

抄録

The problem to be considered in this paper is to find a linear state feedback, by which the system having maximum unobservable-subspace will be realized. First a necessary and sufficient condition for an asymptotically stable maximal unobservable system to exist is presented under the condition that the original system is invertible. The appropriate state feedback for achieving the maximal unobservale system is also given. The present results are then applied to derive a sufficient condition for the decoupled system to be stable via a linear state feedback when the number of inputs are more than that of outputs. Furthermore a sufficient condition for the stable system localized from disturbance to exist is presented in terms of system invariant zeroes. It can be readily shown that this sufficient condition is also necessary, provided the system satisfies the decoupling condition.