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Dead time LTI SISO systems approximation using generalized Laguerre functions
Zsitva, Norbert ; Tůma, Martin (referee) ; Jura, Pavel (advisor)
This final thesis deals with the approximation of time delay in time invariant systems. First, the generalized Laguerre functions and their characteristics are presented. After this, the approximation of the Dirac delta function with the help of these functions is shown. Also, the choice of the free parameters is discussed and the results are evaluated with the help of energy. In the final part of the thesis, the approximations of systems with generalized and simple Laguerre functions are compared.
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Comparison Of Generalized And Simple Laguerre Functions For Time-Delay System Approximation
Zsitva, Norbert
The simple and generalized Laguerre functions for time invariant system approximations are discussed. The expressions needed for these approximations are presented. For the purpose of getting the best results, the choice of the free parameters is included for both the simple and the generalized Laguerre functions. In addition, the approximation of first and second order systems is shown and the results are discussed. According to this, the conditions in which the simple and the generalized Laguerre functions yield better results are presented.
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Dead time LTI SISO systems approximation using generalized Laguerre functions
Zsitva, Norbert ; Tůma, Martin (referee) ; Jura, Pavel (advisor)
This final thesis deals with the approximation of time delay in time invariant systems. First, the generalized Laguerre functions and their characteristics are presented. After this, the approximation of the Dirac delta function with the help of these functions is shown. Also, the choice of the free parameters is discussed and the results are evaluated with the help of energy. In the final part of the thesis, the approximations of systems with generalized and simple Laguerre functions are compared.
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