The comparative analysis of frequency characteristics of approximators integro-differential operators of non-integer orders on the basis of chain RC-schemes

2011 ◽  
Vol 2 (28) ◽  
Author(s):  
В.В. Васильєв ◽  
О.О. Качмарчик ◽  
К.В. Киркач
2013 ◽  
Vol 13 (4) ◽  
pp. 42-53 ◽  
Author(s):  
Nina Nikolova ◽  
Emil Nikolov

Abstract : An essentially new class of repetitive fractional disturbance absorptive filters in disturbances absorbing control systems is proposed in the paper. Systematization of the standard repetitive fractional disturbance absorptive filters of this class is suggested. They use rational approximations of the operators for fractional integration in the theory of fractional calculus. The paper discusses the possibilities for repetitive absorbing of the disturbances with integer order filters and with fractional order filters. The results from the comparative analysis of their frequency characteristics are given below.


2005 ◽  
Vol 18 (3) ◽  
pp. 571-586 ◽  
Author(s):  
Tomislav Sekara ◽  
Milic Stojic

The method for discretization of analogue systems using the ?-approximation is presented. A generalization of some of the existing transformation methods is also done. A comparative analysis, through the corresponding examples involving several known discretization methods, is carried out. It is demonstrated that the application of this ?-approximation allows the reduction of discretization error compared to other approximation methods. The frequency characteristics of the discrete system obtained by these transformations are approximately equal to these of the original analogue system in the basic frequency range.


Computing ◽  
2019 ◽  
Vol 102 (1) ◽  
pp. 247-261 ◽  
Author(s):  
Xianxian Luo ◽  
Taisheng Zeng ◽  
Wei Zeng ◽  
Jianlong Huang

2016 ◽  
Vol 4 ◽  
pp. 39-46
Author(s):  
Timur Dovzhenko

The paper presents the main parameters and describes the behavior of the active queue management (AQM) algorithm which based on random exponential marking (REM) packets in TCP/IP network. It has presented the new AQM algorithm, which has been developed by author, which is based on REM and uses dynamically splitting marking characteristic (DSREM) of network packets. The basic parameters and functional principle of DSREM algorithm have been shown. Block diagram of linearized AQM system, which is based on DSREM management law and describes its main components, is shown. Transfer characteristic for DSREM, which is based on the Laplace transform and its basic parameters, are considered. Simulation of TCP/IP network, which contains congested link for small and large sources of incoming messages using REM and DSREM regulators, is done. Log-frequency characteristics for REM and DSREM methods are obtained and their comparative analysis is performed. It is concluded that the regulator based on DSREM algorithm has better performance and stability of the system can be used in the AQM system.


2021 ◽  
Vol 24 (3) ◽  
pp. 46-55
Author(s):  
Aleksandr A. Golovkov ◽  
Aleksey V. Fomin

The algorithm of parametrical synthesis of various radio devices with any quantity of cascades of type the jet two-port network a nonlinear part by criterion of maintenance of the set frequency characteristics is developed. Nonlinear parts are presented in the form of a nonlinear element and parallel either consecutive on a current or pressure of a feedback. According to this criterion systems of the algebraic equations are generated and solved. Models of optimum two-port networks in the form of mathematical expressions for definition of interrelations between elements of their classical matrix of transfer and for search of dependences of resistance of two-poles from frequency are as a result received. It is shown, that frequency characteristics of investigated radio devices from identical cascades are identical or similar to frequency characteristics of radio devices from one cascade, but with resistance of a source of a signal and the loading, changed definitely. Such schemes are named by equivalent. The comparative analysis of the theoretical results received by mathematical modelling in system MathCad, and the experimental results received by circuit simulation in systems OrCad and MicroCap, shows their satisfactory coincidence.


2021 ◽  
Vol 57 (2) ◽  
pp. 101-107
Author(s):  
P.P. Dobrovolsky ◽  
I.I. Kremis ◽  
V.N. Fedorinin ◽  
V.I. Sidorov

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