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Conference Paper (international conference)

Distributed stabilisation of spatially invariant systems via positive polynomial approach: MIMO systems case

Augusta Petr

: Proceedings of the 13th International Carpathian Control Conference (ICCC), p. 7-12

: The 13th International Carpathian Conference (ICCC), (Podbanské, High Tatras, SK, 28.05.2012-31.05.2012)

: GPP103/12/P494, GA ČR

: Spatially-invariant systems,, polynomial methods, multiple-inputs-multiple-outputs systems

: http://web.tuke.sk/ICCC

(eng): The linear spatially-distributed time-invariant systems with multiple inputs and multiple outputs, modelled by the bivariate transfer function are considered. Stabilisation technique is based on the relationship between stability of the closed-loop bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Since such matrix is not linear in coefficients of the original polynomial and cannot be used for controller design directly, a linearising factorisation is found. This concept is applied to a system with multiple outputs – a heat conduction in a long thin metal rod equipped with an array of temperature sensors and heaters, where heaters are placed in larger distances than sensors.

: BC

07.01.2019 - 08:39