Use of reduced forms in the disturbance decoupling problem

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Abstract

Specific algorithms, such as those involving the supremal of the invariant subspaces contained in a suitable subspace, are known to be able to test whether a Disturbance Decoupling Problem (DDP) is solvable. Here, by reducing the system to its Molinari form, we obtain an alternative description of this supremal object and compute its dimension. Hence we have a general result for solving the decoupling provided that a Molinari basis is known. In particular, a necessary numerical condition for it is derived. The same technique is applied to the DDPS, that is, when stability of the decoupled closed loop system is required.

AMS classification

93B27
93C73

Keywords

Disturbance decoupling problem
(A,B)-Invariant subspaces
Controllability subspaces
Molinari reduced form

Cited by (0)

Partially supported by DGICYT MTM 2007-67812-c02-02.