On the compact formulation of the derivation of a transfer matrix with respect to another matrix

Thibault Hilaire (1) , Philippe Chevrel (2)

1 CAIRN - Energy Efficient Computing ArchItectures with Embedded Reconfigurable Resources
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

A new operator is considered, allowing compact formulae and proofs in the context of the derivation of a transfer matrix with respect to another matrix. The problem of the parametric sensitivity matrix calculation is chosen for illustration. It consists in deriving a Multiple Input Multiple Output transfer function with respect to a parametric matrix and is central in robust control theory. Efficient algorithms may be straightforwardly got from the compact analytic formulae using the operator introduced.

Mots clés: sensitivity; derivative; robust control

Domaines: Automatique

Thibault Hilaire, Philippe Chevrel. On the compact formulation of the derivation of a transfer matrix with respect to another matrix. [Research Report] RR-6760, INRIA. 2008. ⟨inria-00345508⟩