Disturbance decoupling for singular systems by proportional and derivate feedback and proportional and derivative output injection
We study the disturbance decoupling problem for linear time invariant singular
systems. We give necessary and sufficient conditions for the existence of a solution to the disturbance
decoupling problem with or without stability via a proportional and derivative feedback and proportional and derivative output injection that
also makes the resulting closed-loop system regular and/or of index at most one. All results are
based on canonical reduced forms that can be computed using a complete system of invariants that can be implemented in a numerically stable way.