New developments for matrix fraction descriptions: A fully-parametrised approach

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• 作者：Jé ; ré ; my Vayssettes^a ; ^{jeremy.vayssettes@gmail.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Guillaume Mercè ; re^b ; ¹ ; ^{guillaume.mercere@univ-poitiers.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Olivier Prot^c ; ^{olivier.prot@unilim.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Matrix fraction description ; System parametrisation ; Fully-parametrised representation ; Equivalence class
• 刊名：Automatica
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：66
• 期：Complete
• 页码：15-24
• 全文大小：636 K

文摘

This article aims at giving a new answer for the challenging problem of the parametrisation of multi-input multi-output matrix fraction descriptions. In order to reach this goal, new parametrisations of matrix fraction descriptions, called fully-parametrised left matrix fraction descriptions (F-LMFD), are first introduced. Their structural properties as well as their suitability for multi-input multi-output model description are more precisely analysed. As any over-parametrised model description, the F-LMFD cannot describe a transfer function uniquely. The structure of the space of equivalent F-LMFD is then investigated through the determination of its basis. The study carried out in this article is the prelude to a computational improvement of the identification of matrix fraction descriptions with gradient-based optimisation methods.