Inertial manifold and state estimation of dissipative nonlinear PDE systems

abstract

• 2014 Taylor & Francis. In this paper, we study the state estimation problem of dissipative PDE systems that possess inertial manifolds. We show that if a sufficient large number of finite modes are observable, then an observer can be constructed to estimate the state of the PDE system. The convergence of the corresponding error dynamics is exponential and global, and the convergent rate is identified. A numerical example is provided to illustrate the theoretical result of the proposed approach.

authors

• Huang, Tingwen

published proceedings

• APPLICABLE ANALYSIS

author list (cited authors)

• Xiao, M., & Huang, T.

citation count

• 0

complete list of authors

• Xiao, Mingqing||Huang, Tingwen

publication date

• August 2014

publisher

• Taylor & Francis  Publisher

published in

• Applicable Analysis: an international journal  Journal

keywords

• 35r10
• 35r20
• 93b07
• Dissipative Pde System
• Inertial Manifold
• Observer Design
• State Estimation

Digital Object Identifier (DOI)

• 10.1080/00036811.2014.946659

start page

• 2386

end page

• 2401

volume

• 93

issue

• 11

URL

• http://dx.doi.org/10.1080/00036811.2014.946659