Orlov, Y;
Chakrabarty, S;
Zhao, D;
Spurgeon, SK;
(2019)
Sliding Mode Observer Design for a Parabolic PDE in the Presence of Unknown Inputs.
Asian Journal of Control
, 21
(1)
pp. 224-235.
10.1002/asjc.1849.
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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.
| Type: | Article |
|---|---|
| Title: | Sliding Mode Observer Design for a Parabolic PDE in the Presence of Unknown Inputs |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/asjc.1849 |
| Publisher version: | https://doi.org/10.1002/asjc.1849 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | step-by-step observer; sliding mode; partial differential equation; spatial discretisation; finite time estimation; unknown input estimation |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10070715 |
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