Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
| Author | Alizadeh Moghadam, Amir |
| Author | Aksikas, Ilyasse |
| Author | Dubljevic, Stevan |
| Author | Forbes, J. Fraser |
| Available date | 2024-03-18T06:08:42Z |
| Publication Date | 2013 |
| Publication Name | Automatica |
| Resource | Scopus |
| ISSN | 51098 |
| Abstract | This contribution addresses the development of a linear quadratic (LQ) regulator for a set of hyperbolic PDEs coupled with a set of ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert state-space description of the system and the well-known operator Riccati equation (ORE). In order to solve the optimal control problem, the ORE is converted to a set of matrix Riccati equations. The feedback operator is found by solving the resulting matrix Riccati equations. The performance of the designed control policy is assessed by applying it to a system of interconnected continuous stirred tank reactor (CSTR) and a plug flow reactor (PFR) through a numerical simulation. |
| Sponsor | A. Alizadeh Moghadam, S. Dubljevic, and J.F. Forbes acknowledge University of Alberta and Natural Sciences and Engineering Research Council of Canada (NSERC) for their support. I. Aksikas acknowledges the Deanship of Scientific Research (DSR) , King Abdulaziz University for their support under grant No. ( 144-130-D1432 ). |
| Language | en |
| Publisher | Elsevier |
| Subject | Boundary control system Composite distributed and lumped parameter system (DPS-LPS) CSTR-PFR in series Hyperbolic PDEs Infinite-dimensional system LQ control |
| Type | Article |
| Pagination | 526-533 |
| Issue Number | 2 |
| Volume Number | 49 |
Check access options
Files in this item
| Files | Size | Format | View |
|---|---|---|---|
|
There are no files associated with this item. |
|||
This item appears in the following Collection(s)
-
Mathematics, Statistics & Physics [740 items ]