Canonical forms on discrete linear periodically time-varying systems and a control application
B. Park, Erik I. Verriest · 2003
Canonical forms for discrete linear N-periodically time-varying (LP) completely reachable systems x(k)=A/sub k/x(k)+B/sub k/u(k) and y(k)=C/sub k/x(k)+D/sub k/u(k) that generalize the linear time-invariant (LTI) case are presented. The derivation is first accomplished through an LTI-quadruple equivalent to a 4N-tuple (A/sub k/, B/sub k/, C/sub k/, D/sub k/), for k=0, 1, . . ., N-1. This LTI system is revealed to be a subcomponent in a decomposition of a given discrete LP system represented by the 4N-tuple. An application of the canonical forms is demonstrated for a control problem, the eigenvalue assignment of the monodromy matrix.>