Detail Mean Square Stabilisability of Communication-Limited Stochastic Linear Systems   Oleh:  N.Nair, Girish ; Evans, Robin J. Jenis: Article from Article Dalam koleksi: Final Program and Book of Abstracts: The 4th Asian Control Conference, September 25-27, 2002 (Sep. 2002), page 1290-1295. Topik: Stochastic Linear System; Mean Square; Communication Fulltext: AC021560.PDF (196.84KB) Isi artikel A fundamental issue in the field of communicationlimited control is how low the closed loop data rate can be made before a given dynamical system is impossible to stabilise by any coding and control law. This defines the smallest data rate sufficient to achieve ‘reliable’ closed loop performance, in analogy with Shannon’s source coding theorem, but at present has been investigated only for LTI and jump Markov linear systems without disturbances. In this paper multivariable stochastic linear systems are considered, with the object being mean square state stability. By means of the entropy power inequality of information theory and a new quantiser upper bound, an expression for the infimum stabilising data rate is derived under very mild conditions on the initial state and noise probability densities. Interestingly, it depends solely on the unstable open-loop eigenvalues of the system and no the noise statistics. Opini Anda Klik untuk menuliskan opini Anda tentang koleksi ini! Kembali

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