"Optim\u00E1ln\u00ED ffiltry pro spojitou aproximaci integro-diferenci\u00E1ln\u00EDch oper\u00E1tor\u016F necelo\u010D\u00EDseln\u00E9ho \u0159\u00E1du"@cs . "3"^^ . "In the last decades, there is a boom of fractional calculus (FC) applications in many technical areas including process control. The generalization to integrals and derivatives of arbitrary fractional order (FO) simplifies several problems especially in frequency domain. Due to implementation aspects, switching into time domain is quite difficult. There exist several global approximation methods which approximate the ideal integro-differential operator on a given frequency interval by continuous integer order zero/pole transfer function. Charef's and Oustaloup's methods are typical representatives. They generate periodical zero/pole positions. Unfortunately, the quality obtained is not sufficient namely for low order approximating filters. This paper summarizes the results of numerical optimization of zero/pole positions. Finally, the presented results were tested in relay autotuner."@en . "RIV/49777513:23520/08:00500010" . . . "Optimal filters for continuous approximation of fractional integro-differential operators" . "Fractional calculus; fractional-order integrator; optimal approximation; constant-phase filter"@en . . . "Schlegel, Milo\u0161" . . "Proceedings of 9th International Carpathian Control Conference ICCC'08" . "978-973-746-897-0" . "385069" . . . . . "\u010Cech, Martin" . . "Optimal filters for continuous approximation of fractional integro-differential operators"@en . "Optimal filters for continuous approximation of fractional integro-differential operators"@en . "23520" . "Sinaia, Rumunsko" . . . "Mertl, Ji\u0159\u00ED" . . "Optim\u00E1ln\u00ED ffiltry pro spojitou aproximaci integro-diferenci\u00E1ln\u00EDch oper\u00E1tor\u016F necelo\u010D\u00EDseln\u00E9ho \u0159\u00E1du"@cs . . "Craiova" . "RIV/49777513:23520/08:00500010!RIV09-MPO-23520___" . . . "2008-05-28+02:00"^^ . "[B5413FF8F019]" . "4"^^ . . . "In the last decades, there is a boom of fractional calculus (FC) applications in many technical areas including process control. The generalization to integrals and derivatives of arbitrary fractional order (FO) simplifies several problems especially in frequency domain. Due to implementation aspects, switching into time domain is quite difficult. There exist several global approximation methods which approximate the ideal integro-differential operator on a given frequency interval by continuous integer order zero/pole transfer function. Charef's and Oustaloup's methods are typical representatives. They generate periodical zero/pole positions. Unfortunately, the quality obtained is not sufficient namely for low order approximating filters. This paper summarizes the results of numerical optimization of zero/pole positions. Finally, the presented results were tested in relay autotuner." . "Optimal filters for continuous approximation of fractional integro-differential operators" . . "3"^^ . "P(FI-IM3/056)" . "V posledn\u00EDch letech pozorujeme velk\u00FD n\u00E1r\u016Fst aplikac\u00ED syst\u00E9m\u016F necelo\u010D\u00EDseln\u00E9ho \u0159\u00E1du v automatick\u00E9m \u0159\u00EDzen\u00ED. \u010Cl\u00E1nek popisuje optim\u00E1ln\u00ED filtry n\u00EDzk\u00E9ho \u0159\u00E1du pro spojitou aproximaci integr\u00E1tor\u016F a deriv\u00E1tor\u016F necelo\u010D\u00EDseln\u00E9ho \u0159\u00E1du. Filtry byly prakticky testov\u00E1ny v rel\u00E9ov\u00E9m autotuneru."@cs . "University of Craiova" .