Observer design for a class of nonlinear ODE-PDE cascade systems

作     者：Ahmed-Ali, T. Giri, F. Krstic, M. Lamnabhi-Lagarrigue, F. 

作者机构：Univ Caen ENSICAEN GREYC Lab F-14032 Caen France Univ Calif San Diego Dept Mech & Aerosp Engn La Jolla CA 92093 USA EECI LSS CNRS SUPELEC F-91192 Gif Sur Yvette France 

出 版 物：《SYSTEMS & CONTROL LETTERS》 (系统与控制快报)

年 卷 期：2015年第83卷

页      面：19-27页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0811[工学-控制科学与工程] 

主　　题：Observer design Nonlinear systems Distributed parameter systems 

摘      要：The problem of state-observation is addressed for nonlinear systems that can be modeled by an ODE-PDE series association. The ODE subsystem assumes a triangular structure while the PDE element is of heat diffusion type. The aim is to accurately estimate online the state vector of the ODE subsystem and the distributed state of the PDE element. One major difficulty is that the state observation must only rely on the global system output i.e. the PDE state at the terminal boundary. In particular, the connection point between the ODE and the PDE blocks is not accessible to measurements. The observation problem is dealt with by designing a high-gain type observer. Sufficient conditions involving the PDE domain length are formally established that ensure the observer exponential convergence. (C) 2015 Elsevier B.V. All rights reserved.