Abstract
For linear time-invariant systems, Falb and Wolovich first formulated the diagonal decoupling problem via output feedback. Since then, this problem has been extensively studied and many solvability conditions have been obtained.
Recently, for linear periodic discrete time systems, the authors formulated the blockk decoupling problem via periodic state feedback and gave a necessary and sufficient solvability condition by using “Geometric Approach”
This paper extends this result to an incomplete state feedback case, that is, when the measurement does not coincide with the controlled output.
Necessary and sufficient conditions such that the systems can be block decoupled via incomplete state feedback are derived.
Furthermore for the output feedback case, the structure of the block decoupled system and stabilization by sampled output periodic control are also considerd.
