Počet záznamů: 1

Distributed stabilization of spatially invariant systems: positive polynomial approach

  1. 1.
    0347862 - UTIA-B 2011 RIV HU eng C - Konferenční příspěvek (zahraniční konf.)
    Augusta, Petr - Hurák, Z.
    Distributed stabilization of spatially invariant systems: positive polynomial approach.
    Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010. Budapest: Eötvös Loránd University, 2010, s. 773-779. ISBN 978-963-311-370-7.
    [The 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010. Budapešť (HU), 05.07.2010-09.07.2010]
    Grant CEP: GA MŠk(CZ) 1M0567
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: polynomial matrix * boundary control * differential equations
    Kód oboru RIV: BC - Teorie a systémy řízení

    The paper gives a computationally feasible characterisation of spatially distributed discrete-time controllers stabilising a spatially invariant system. This gives a building block for convex optimisation based control design for these systems. Mathematically, such systems are described by partial differential equations with coefficients independent on time and location. In this paper, a situation with one spatial and one temporal variable is considered. Models of such systems can take a form of a 2-D transfer function. Stabilising distributed feedback controllers are then parametrised as a solution to the Diophantine equation ax + by = c for a given stable bivariate polynomial c. This paper brings a computational characterisation of all such stable 2-D polynomials exploiting the relationship between a stability of a 2-D polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are usually bilinear in the coefficients of the original polynomials.
    Trvalý link: http://hdl.handle.net/11104/0188540