A numerically reliable solution for the squaring-down problem in system design
Applied Numerical Mathematics
Simultaneous performance achievement via compensator blending
Automatica (Journal of IFAC)
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We study the disturbance decoupling problem for linear time invariant descriptor 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/or derivative feedback that also makes the resulting closed-loop system regular and/or of index at most one. All results are proved constructively based on condensed forms that can be computed using orthogonal matrix transformations, i.e., transformations that can be implemented in a numerically stable way.