On the compact formulation of the derivation of a transfer matrix with respect to another matrix
Abstract
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.
Domains
Automatic Control Engineering
Origin : Files produced by the author(s)
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