DESIGN OF LINEAR TIME-INVARIANT SYSTEMS BY PERIODIC OUTPUT-FEEDBACK .2. OUTPUT-FEEDBACK CONTROLLABILITY

In this paper it is shown that complete controllability and complete observability are necessary and sufficient conditions for the complete controllability of linear time-invariant systems by discrete output feedback. In the case where the desired final state is the origin, the resultant, output feedback gain is periodic and the transfer is accomplished in at most vd periods, where vd is the discrete-time index of observability. In the more general case where the desired final state is non-zero, the transfer is accomplished using at most vd output measurements. © 1978 Taylor and Francis Group, LLC.