The application of Discrete sliding mode control in parabolic PDE dynamics

Argha, A; Li, L; Su, SW; Nguyen, H

The application of Discrete sliding mode control in parabolic PDE dynamics

Argha, A

Li, L

Su, SW

Nguyen, H

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Publication Type:: Conference Proceeding
Citation:: 2013 3rd Australian Control Conference, AUCC 2013, 2013, pp. 152 - 157
Issue Date:: 2013-12-01

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Field	Value	Language
dc.contributor.author	Argha, A https://orcid.org/0000-0002-8276-9774	en_US
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216	en_US
dc.contributor.author	Su, SW https://orcid.org/0000-0002-5720-8852	en_US
dc.contributor.author	Nguyen, H https://orcid.org/0000-0003-3373-8178	en_US
dc.date.issued	2013-12-01	en_US
dc.identifier.citation	2013 3rd Australian Control Conference, AUCC 2013, 2013, pp. 152 - 157	en_US
dc.identifier.isbn	9781479924981	en_US
dc.identifier.uri	http://hdl.handle.net/10453/27258
dc.description.abstract	In this paper, the problem of applying Discrete Sliding Mode Control (DSMC) on spatially finite-dimensional systems arising from discretization of bi-variate Partial Differential Equations (PDEs) describing spatio-temporal systems is studied. To this end, heat transfer PDE is discretized to create 2D discrete dynamics and eventually this 2D spatiotemporal discrete form is represented in 1D vectorial form. In order to study the effect of discrepancy between original PDE dynamics and their discrete schemes, an uncertainty term is also considered for the obtained discrete dynamics. According to the notion of strong stability and, in addition, using scaling matrices (similarity transformation), a new method for considering the stability of discrete-time systems in the presence of general uncertainty term (matched and unmatched) is developed. It is also shown that the proposed method in this paper can be used for the case with spatial constraints on the actuation. Consequently, as special cases, the problem of spatially piece-wise constant, sparse and also boundary control input are studied. © 2013 Engineers Australia.	en_US
dc.relation.ispartof	2013 3rd Australian Control Conference, AUCC 2013	en_US
dc.relation.isbasedon	10.1109/AUCC.2013.6697264	en_US
dc.title	The application of Discrete sliding mode control in parabolic PDE dynamics	en_US
dc.type	Conference Proceeding
utslib.for	0906 Electrical and Electronic Engineering	en_US
dc.location.activity	Perth, Australia	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US

Abstract:

In this paper, the problem of applying Discrete Sliding Mode Control (DSMC) on spatially finite-dimensional systems arising from discretization of bi-variate Partial Differential Equations (PDEs) describing spatio-temporal systems is studied. To this end, heat transfer PDE is discretized to create 2D discrete dynamics and eventually this 2D spatiotemporal discrete form is represented in 1D vectorial form. In order to study the effect of discrepancy between original PDE dynamics and their discrete schemes, an uncertainty term is also considered for the obtained discrete dynamics. According to the notion of strong stability and, in addition, using scaling matrices (similarity transformation), a new method for considering the stability of discrete-time systems in the presence of general uncertainty term (matched and unmatched) is developed. It is also shown that the proposed method in this paper can be used for the case with spatial constraints on the actuation. Consequently, as special cases, the problem of spatially piece-wise constant, sparse and also boundary control input are studied. © 2013 Engineers Australia.

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http://hdl.handle.net/10453/27258