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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/7823
Title: Sliding Mode Observer Design for a Parabolic PDE in the Presence of Unknown Inputs
Authors: Orlov Y.
Chakrabarty, Sohom
Zhao D.
Spurgeon S.K.
Published in: Asian Journal of Control
Abstract: This paper considers observer design for systems modeled by linear partial differential equations (PDEs) of parabolic type, which may be subject to unknown inputs. The system is assumed to have only one spatial dimension, over which it is discretised to obtain what is referred to as the lattice system, which is a set of linear time invariant (LTI) ordinary differential equations (ODEs) having a canonical Toeplitz-like structure with a specific sparsity pattern. This lattice structure is shown to be particularly appropriate for step-by-step sliding mode observer design that can reconstruct the state estimates at the points of discretisation and estimate the unknown input. Simulation results for both stable and unstable PDEs show that accurate state estimates can be provided at the points of discretisation. An approach to reconstruct the unknown input is demonstrated. © 2018 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
Citation: Asian Journal of Control (2019), 21(1): 224-235
URI: https://doi.org/10.1002/asjc.1849
http://repository.iitr.ac.in/handle/123456789/7823
Issue Date: 2019
Publisher: Wiley-Blackwell
Keywords: finite time estimation
partial differential equation
sliding mode
spatial discretisation
Step-by-step observer
unknown input estimation
ISSN: 15618625
Author Scopus IDs: 7102256474
56509092500
23112052400
7005642573
Author Affiliations: Orlov, Y., CICESE Electronics & Communications, Ensenada, Mexico
Chakrabarty, S., Department of Electrical Engineering, IIT, Roorkee, India
Zhao, D., College of Chemical Engineering, China University of Petroleum, Qingdao, China
Spurgeon, S.K., Department of Electronic and Electrical Engineering, University College, London, United Kingdom
Funding Details: Manuscript received December 1, 2017; revised March 11, 2018; accepted March 29, 2018. Yury Orlov is with CICESE Electronics & Communications, Ensenada, Mexico. Sohom Chakrabarty is with the Department of Electrical Engineering, IIT Roorkee, India. Dongya Zhao is with the College of Chemical Engineering, China University of Petroleum, Qingdao, China. Sarah K. Spurgeon (corresponding author, e-mail: s.spurgeon@ucl.ac.uk) is with the Department of Electronic and Electrical Engineering, University College, London, UK. This work was supported by EPSRC grant reference number EP/J018295/1, a Chinese Ministry of Education Chiang Jiang International Scholarship and NSFC (61473312).
Corresponding Author: Spurgeon, S.K.; Department of Electronic and Electrical Engineering, University CollegeUnited Kingdom; email: s.spurgeon@ucl.ac.uk
Appears in Collections:Journal Publications [EE]

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