"RIV/67985556:_____/08:00309852" . . "Algebraick\u00FD p\u0159\u00EDstup k LQ optim\u00E1ln\u00EDmu \u0159\u00EDzen\u00ED syst\u00E9m\u016F s rozprost\u0159en\u00FDmi parametry: 2-D syst\u00E9my"@cs . "In this paper we develop new results on control systems design for spatially distributed linear systems using an n-D systems approach. The basic ideas are explained using as an example heat conduction in a rod where the measurements and control action applied are based on an array of sensors and heaters. The \uFB01rst part of the analysis given shows how the process dynamics for this case can be approximately described by a 2-D transfer-function, i.e. a fraction of two bivariate polynomials. This is followed by stability analysis and tests. Finally, a simple algorithm for design of LQ controller is proposed."@en . "V tomto \u010Dl\u00E1nku jsou uk\u00E1z\u00E1ny nov\u00E9 v\u00FDsledky v n\u00E1vrhu \u0159\u00EDzen\u00ED line\u00E1rn\u00EDch syst\u00E9m\u016F s rozprost\u0159en\u00FDmi parametry s u\u017Eit\u00EDm teorie v\u00EDcerozm\u011Brn\u00FDch syst\u00E9m\u016F. Z\u00E1kladn\u00ED my\u0161lenky jsou demonstrov\u00E1ny na jednoduch\u00E9m p\u0159\u00EDklad\u011B \u0161\u00ED\u0159en\u00ED tepla v ty\u010Di, kde m\u011B\u0159en\u00ED a ak\u010Dn\u00ED z\u00E1sah \u0159\u00EDzen\u00ED jsou prov\u00E1d\u011Bny pomoc\u00ED \u0159ady senzor\u016F a tepeln\u00FDch t\u011Bl\u00EDsek. V prvn\u00ED \u010D\u00E1sti je uk\u00E1z\u00E1no, jak lze takov\u00FD syst\u00E9m popsat 2-D p\u0159enosovou funkc\u00ED, tj. pod\u00EDlem dvou polynom\u016F o dvou prom\u011Bnn\u00FDch. N\u00E1sleduje anal\u00FDza a testy stability a jednoduch\u00FD algoritmus pro n\u00E1vrh LQ regul\u00E1toru."@cs . . . "n-D systems; LQ optimal control; transfer function"@en . "Algebraic approach to LQ-optimal control of spatially distsributed systems: 2-D case"@en . "2008-07-06+02:00"^^ . . "355385" . . "RIV/67985556:_____/08:00309852!RIV09-MSM-67985556" . "Laxenburg" . "Seoul" . . "Algebraick\u00FD p\u0159\u00EDstup k LQ optim\u00E1ln\u00EDmu \u0159\u00EDzen\u00ED syst\u00E9m\u016F s rozprost\u0159en\u00FDmi parametry: 2-D syst\u00E9my"@cs . "Preprints of the 17th IFAC World Congress" . . "2"^^ . . . . "1"^^ . "Hur\u00E1k, Z." . . . "Algebraic approach to LQ-optimal control of spatially distsributed systems: 2-D case" . "Algebraic approach to LQ-optimal control of spatially distsributed systems: 2-D case"@en . . . . . "[0CE9FE67BE65]" . "978-3-902661-00-5" . "Augusta, Petr" . . "P(1M0567), Z(AV0Z10750506)" . "6"^^ . . "In this paper we develop new results on control systems design for spatially distributed linear systems using an n-D systems approach. The basic ideas are explained using as an example heat conduction in a rod where the measurements and control action applied are based on an array of sensors and heaters. The \uFB01rst part of the analysis given shows how the process dynamics for this case can be approximately described by a 2-D transfer-function, i.e. a fraction of two bivariate polynomials. This is followed by stability analysis and tests. Finally, a simple algorithm for design of LQ controller is proposed." . "Algebraic approach to LQ-optimal control of spatially distsributed systems: 2-D case" . "IFAC" .