Approximation of linear distributed parameter systems by delay systems

详细信息    查看全文

• 作者：Michaë ; l Di Loreto ^{michael.di-loreto@insa-lyon.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Sé ; rine Damak ^{serine.damak@insa-lyon.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Damien Eberard ^{damien.eberard@insa-lyon.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Xavier Brun ^{xavier.brun@insa-lyon.fr" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Distributed parameter systems ; Time-delay systems ; Approximation ; Stabilization
• 刊名：Automatica
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：68
• 期：Complete
• 页码：162-168
• 全文大小：822 K

文摘

The present work addresses continuous-time approximation of distributed parameter systems governed by linear one-dimensional partial differential equations. While approximation is usually realized by lumped systems, that is finite dimensional systems, we propose to approximate the plant by a time-delay system. Within the graph topology, we prove that, if the plant admits a coprime factorization in the algebra of BIBO-stable systems, any linear distributed parameter plant can be approximated by a time-delay system, governed by coupled differential–difference equations. Considerations on stabilization and state-space realization are carried out. A numerical method for constructive approximation is also proposed and illustrated.