Disturbance decoupling for singulars systems by proportional and derivate feedback and proportional and derivate outputm injection
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We study the disturbance decoupling problem for linear time invariant singular systems. We give necessary and su±cient 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.
CitacióGarcia-Planas, M.I. Disturbance decoupling for singulars systems by proportional and derivate feedback and proportional and derivate outputm injection. A: "From Physics to contronl trhough an emergent view". Singapur: World Scientific, 2010, p. 99-105.