A simple method for stabilisation of (2+1)D systems
Konferenz: nDS '13 - Proceedings of the 8th International Workshop on Multidimensional Systems
09.09.2013 - 11.09.2013 in Erlangen, Deutschland
Tagungsband: nDS '13
Seiten: 5Sprache: EnglischTyp: PDF
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Autoren:
Augusta, Petr (Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Prague, Czech Republic)
Inhalt:
The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation of systems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included.