Dissipativity-based observer design for a class of coupled 1-D semi-linear parabolic PDE systems

作     者：Schaum, A. Moreno, J.A. Meurer, T. 

作者机构：Chair of Automatic Control Christian–Albrechts–University Kiel Germany Instituto de Ingenieria Universidad Nacional Autonoma de Mexico D.F. Mexico 

出 版 物：《IFAC-PapersOnLine》 

年 卷 期：2016年第49卷第8期

页      面：98-103页

核心收录：

主　　题：Mathematical operators Eigenvalues and eigenfunctions Distributed parameter systems Domain measurements Eigenfunction expansions Estimation errors Exponential convergence Linear operators Observer Semi linear parabolic PDE 

摘      要：In the present paper the dissipativity-based observer design approach is extended to a class of 1-D semi-linear parabolic PDE systems with pointwise in-domain measurement. On the basis of a modal innovation over the set of slow eigenvalues of the linear operator and the consideration of a dissipativity (sector) condition for the nonlinearity an exponential convergence condition for the estimation error is derived in form of a linear operator inequality, which is solved on the basis of an eigenfunction expansion of the linear operator. The approach is illustrated by numerical simulations for a coupled two-state semi-linear PDE system. © 2016