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

作     者：Pourkargar, Davood Babaei Armaou, Antonios 

作者机构：Penn State Univ Dept Chem Engn University Pk PA 16802 USA 

出 版 物：《CHEMICAL ENGINEERING SCIENCE》 (化学工程科学)

年 卷 期：2015年第138卷

页      面：673-684页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 

基　　金：National Science Foundation  CMMI [13-00322] 

主　　题：Dynamic shaping Distributed parameter systems Model order reduction Sliding mode control Dynamic observer Process control 

摘      要：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 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. (C) 2015 Elsevier Ltd. All rights reserved.