Dynamic shaping of transport-reaction processes with a combined sliding mode controller and Luenberger-type dynamic observer design

Davood Babaei Pourkargar, Antonios Armaou

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We focus on shaping the long-term spatiotemporal dynamics of transport-reaction processes which can be described by semi-linear partial differential equations (PDEs). The dynamic shaping problem is addressed via error dynamics regulation between the governing PDE and a target PDE which describes the desired spatiotemporal behavior. A model order reduction methodology is utilized to construct the required reduced order models (ROMs) for governing and target dynamics via Galerkin[U+05F3]s method. We subtract the governing from the target ROMs to obtain reduced offset dynamics error. Then an output feedback sliding mode control structure is synthesized to stabilize the reduced error dynamics and correspondingly synchronize the system and the target spatiotemporal behaviors. A Luenberger-type dynamic observer is applied to estimate the states of the governing ROM required by the sliding mode controller. The proposed approach is applied to address the thermal spatiotemporal dynamic shaping problem in a tubular chemical reactor.

Original languageEnglish (US)
Pages (from-to)673-684
Number of pages12
JournalChemical Engineering Science
Volume138
DOIs
StatePublished - Dec 22 2015

Bibliographical note

Funding Information:
Financial support from the National Science Foundation , CMMI Award #13-00322 is gratefully acknowledged.

Keywords

  • Distributed parameter systems
  • Dynamic observer
  • Dynamic shaping
  • Model order reduction
  • Process control
  • Sliding mode control

Fingerprint Dive into the research topics of 'Dynamic shaping of transport-reaction processes with a combined sliding mode controller and Luenberger-type dynamic observer design'. Together they form a unique fingerprint.

Cite this