Disturbance decoupling for singular systems by proportional and derivate feedback and proportional and derivative output injection

M. Isabel Garcia-Planas

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.

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