Počet záznamů: 1  

On stabilisability of 2-D MIMO shift-invariant systems

  1. 1.
    0398772 - UTIA-B 2014 RIV GB eng J - Článek v odborném periodiku
    Augusta, Petr - Augustová, Petra
    On stabilisability of 2-D MIMO shift-invariant systems.
    Journal of the Franklin Institute-Engineering and Applied Mathematics. Roč. 350, č. 10 (2013), s. 2949-2966. ISSN 0016-0032
    Grant CEP: GA ČR GPP103/12/P494
    Institucionální podpora: RVO:67985556
    Klíčová slova: spatially invariant system * stabilisation * multiple-input-multiple-output system, * positive polynomial
    Kód oboru RIV: BC - Teorie a systémy řízení
    Impakt faktor: 2.260, rok: 2013
    http://library.utia.cas.cz/separaty/2013/TR/augusta-0398772.pdf

    We concentrate on the linear spatially distributed time-invariant two-dimensional systems with multiple inputs and multiple outputs and with control action based on an array of sensors and actuators connected to the system. The system is described by the bivariate matrix polynomial fraction. Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are not linear in the controller parameters, however, in simple cases, a linearising factorisation exists. It allows to describe the control design in the form of a linear matrix inequality. In more complicated cases, linear sufficient conditions are given. 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.
    Trvalý link: http://hdl.handle.net/11104/0226296