Optimal Port Allocation for Nonlinear Distributed Parameter Systems^*

详细信息    查看全文

• 作者：Gou Nishida^* ; ^{g.nishida@ieee.org" class="auth_mail" title="E-mail the corresponding author} ; Noboru Sakamoto^** ; ^{noboru.sakamoto@nanzan-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Optimal control ; Model reduction ; Nonlinear systems ; Distributed parameter systems ; Hamilton-Jacobi equations
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：8
• 页码：284-289
• 全文大小：1125 K

文摘

This paper proposes an optimal way of allocating collocated input-output pairs for stabilizing distributed parameter systems. We first introduce a finite-dimensional reduced model from sampled initial responses of the systems via the POD (Proper Orthogonal Decomposition)-Galerkin method. Next, optimal gains of the stabilizing controller for the reduced systems are designed by the stable manifold method that is an exact numerical solver of Hamilton-3Jacobi equations. Finally, we present three allocation methods derived from state shape matching, dissipation enhancement, and their mixed evaluation, and we show that the optimal allocations can be associated with energy controls in terms of port representations.