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1
Content available remote A note on model matching for nonrealizable nonlinear systems
100%
Halas M. , Kotta U.
Archives of Control Sciences
|
2009
|
tom Vol. 19, no. 4
451-461
EN
In this technical note the model matching problem for nonlinear systems not admitting the state space realization is discussed. Both continuous- and discrete-time cases are addressed. It is demonstrated, by using a transfer function formalism, that even in case of nonrealizable systems it is sometimes still possible to find realizable compensators.
2
Content available remote Towards a framework for continuous and discrete multidimensional systems
100%
Rabenstein R. , Trautmann L.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 1
73-85
EN
Continuous multidimensional systems described by partial differential equations can be represented by discrete systems in a number of ways. However, the relations between the various forms of continuous, semi-continuous, and discrete multidimensional systems do not fit into an established framework like in the case of one-dimensional systems. This paper contributes to the development of such a framework in the case of multidimensional systems. First, different forms of partial differential equations of physics-based systems are presented. Secondly, it is shown how the different forms of continuous multidimensional systems lead to certain discrete models in current use (finite-difference models, multidimensional wave digital filters, transfer function models). The links between these discrete models are established on the basis of the respective continuous descriptions. The presentation is based on three examples of physical systems (heat flow, transmission of electrical signals, acoustic wave propagation).
3
Content available remote Construction of the non-rigid Earth rotation series
88%
Pashkevich V. V.
Artificial Satellites : Journal of Planetary Geodesy
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2007
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tom Vol. 42, No. 4
215--227
EN
Last years a lot of attempts to derive a high-precision theory of the non-rigid Earth rotation are carried out. For these purposes different transfer functions are used. Usually these transfer functions are applied to the series representing the nutation in the longitude and the obliquity of the rigid Earth rotation with respect to the ecliptic of date. The aim of this investigation is a construction of new high-precision non-rigid Earth rotation series (SN9000), dynamically adequate to the DE404/LE404 ephemeris over 2000 time span years, which are presented as functions of the Euler angles ψ, θ and φ with respect to the fixed ecliptic plane and equinox J2000.0.
4
Content available remote Experimental and theoretical determination of transfer function of transformer windings
75%
Florkowski M. , Furgał J.
Archives of Electrical Engineering
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2003
|
tom Vol. 52, nr 2
137--151
EN
A method based on the transfer function has been used more and more frequently for investigation of transformer windings. It is applied more and more widely as a maintenance procedure lor the identification of damage and deformation of transformer windings as well as it might be used to estimate the condition of an insulating system. The method can also he used to detect possible manufacturing damages or to check minor dislocations of the windings. It is based on the comparison of current measurements of the transfer function with reference measurements. The application of this method in the investigation ol transformers is determined by an exact measurement of the transfer function by experiment and by mathematical modelling. Both methods of determining the transfer function of the transformer are being refined and developed. Transfer function measurement, analysis and evaluation methods are presented in this paper. Described methods were applied for measuring and calculating of the transfer function for two of transformer windings.
PL
Uzwojenia transformatorów są badane coraz częściej przy zastosowaniu metody, której podstawą jest funkcja przenoszenia. Jest ona wykorzystywana do wykrywania uszkodzeń oraz zniekształceń uzwojeń. Może być także stosowana do oceny stanu układu izolacyjnego oraz do kontroli procesu produkcyjnego lub do wykrywania przemieszczeń uzwojeń. Metoda polega na porównaniu wyniku pomiaru funkcji przenoszenia z pomiarami odniesienia. Zastosowanie tej metody w badaniach transformatorów jest zależne od dokładnych pomiarów lub modelowania matematycznego funkcji przenoszenia. Obie metody wyznaczania funkcji przenoszenia są obecnie rozwijane i doskonalone. W artykule przedstawiono pomiary funkcji przenoszenia, analizę i rozwój metod. Porównano wyniki pomiarów i obliczeń funkcji przenoszenia dwu różnych uzwojeń transformatora.
5
Computation of minimal realizations for compartmental linear systems
75%
Kaczorek T.
Systems Science
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2003
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tom Vol. 29, nr 1
15-29
EN
A new method for computation of minimal compartmental realizations of a proper transfer function is proposed. The method is based on a suitable transformation of an asymptotically stable positive realization to the desired compartmental realization. The transformation is characterized by a generalized permutation matrix. Sufficient conditions for the existence of minimal compartmental realizations are established. Two-step procedures for computation of minimal compartmental realizations for both continuous-time and discrete-time linear systems are derived and illustrated by a numerical example.
6
Content available Application of graphs in the analysis of vibrating 3-dimensional systems
75%
Wojnarowski J.
International Journal of Applied Mechanics and Engineering
|
2016
|
tom Vol. 21, no. 3
761--766
EN
Vibrating 3-dimensional mechanical systems are described by hybrid graphs. By dividing the hybrid graph into a tree and associated co-tree it is possible to describe in terms of matrices: across-flow-variables, stiffness and flexibility. The application of the formalism of graphs makes it possible to analyze mechanical systems in terms of dynamic characteristic and trajectory motion of determinate points.
7
Machine Tool Structure Stiffness Measurements for Decreasing Vibration Level
75%
Koci P.
Mechanika / Akademia Górniczo-Hutnicza im. St. Staszica
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2003
|
tom T. 22, z. 3
317-322
EN
The paper gives a review of research works focused on cutting process during machine tools working conditions. The main result deals with assessing dynamie compliance (stiffness). The simplified experimental modal analysis of machine tools was carried out. This analysis results in determination the direction of the maximal compliance of a machine structure. The measurements are arranged into a diagram giving overview about the most important properties of the machine tool for operational conditions during machining process. The new measurement method gives the possibility to prevent inaccuracies in production after regular machine inspection
8
Content available remote Towards a Framework for Continuous and Discrete Multidimensional Systems
75%
Rabenstein R. , Trautmann L.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom Vol. 13, no 1
73-85
EN
Continuous multidimensional systems described by partial differential equations can be represented by discrete systems in a number of ways. However, the relations between the various forms of continuous, semi-continuous, and discrete multidimensional systems do not fit into an established framework like in the case of one-dimensional systems. This paper contributes to the development of such a framework in the case of multidimensional systems. First, different forms of partial differential equations of physics-based systems are presented. Secondly, it is shown how the different forms of continuous multidimensional systems lead to certain discrete models in current use (finite-difference models, multidimensional wave digital filters, transfer function models). The links between these discrete models are established on the basis of the respective continuous descriptions. The presentation is based on three examples of physical systems (heat flow, transmission of electrical signals, acoustic wave propagation).
9
Content available Wyznaczanie transmitancji z wykorzystaniem odpowiedzi skokowej w obecności zakłóceń
63%
Purczyński J.
TTS Technika Transportu Szynowego
|
2012
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tom R. 19, nr 9
1339--1348, CD
PL
W pracy zaprezentowano metodę identyfikacji liniowych układów dynamicznych w przypadku, gdy znana jest odpowiedź skokowa obiektu. Rozpatrzono zagadnienie uzyskiwania modeli uproszczonych transmitancji. Stwierdzono, że w przypadku sygnału niezakłóconego, całkowanie numeryczne metodą Simpsona prowadzi do dokładniejszego modelu niż metoda trapezów. Odwrotna sytuacja, tzn. skuteczniejsza jest metoda trapezów dla odpowiedzi skokowej w obecności zakłóceń.
EN
The paper presents a method of identifying linear dynamic systems in the case of known step response of an object. The issue of obtaining simplified models of transfer functions was considered. It was concluded that in the case of an undisturbed signal, numerical integration applying the Simpson method yields a more accurate model than the trapeze method. By contrast, the trapeze method is more effective in the case of a step response in the presence of noise.
10
Content available remote The Stability of an Irrigation Canal System
63%
Bounit H.
International Journal of Applied Mathematics and Computer Science
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2003
|
tom Vol. 13, no 4
453-468
EN
In this paper we examine the stability of an irrigation canal system. The system considered is a single reach of an irrigation canal which is derived from Saint-Venant's equations. It is modelled as a system of nonlinear partial differential equations which is then linearized. The linearized system consists of hyperbolic partial differential equations. Both the control and observation operators are unbounded but admissible. From the theory of symmetric hyperbolic systems, we derive the exponential (or internal) stability of the semigroup underlying the system. Next, we compute explicitly the transfer functions of the system and we show that the input-output (or external) stability holds. Finally, we prove that the system is regular in the sense of (Weiss, 1994) and give various properties related to its transfer functions.
11
Content available remote Robust performance of a class of control systems
51%
Wang L.
Control and Cybernetics
|
2004
|
tom Vol. 33, no 1
71-83
EN
Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are extended to the polynomial matrix case and non-interval D-stability case. Applications of these results in testing of robust strict positive realness of real and complex interval transfer function families are also presented.
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