Wyniki wyszukiwania - BazTech

1

Automated Linearization of a System of Nonlinear Ordinary Differential Equations

Mazakova Aigerim, Jomartova Sholpan, Wójcik Waldemar, Mazakov Talgat, Ziyatbekova Gulzat

International Journal of Electronics and Telecommunications

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2023

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Vol. 69, No. 4

655--600

EN

This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation of the original nonlinear model. Based on the application of computer algebra, a constructive algorithm for the linearisation of a system of non-linear ordinary differential equations was developed. A software was developed on MatLab. The effectiveness of the proposed algorithm has been demonstrated on applied problems: an unmanned aerial vehicle dynamics model and a twolink robot model. The obtained linearized models were then used to test the stability of the original models. In order to account for possible inaccuracies in the measurements of the technical parameters of the model, an interval linearized model is adopted. For such a model, the procedure for constructing the corresponding interval characteristic polynomial and the corresponding Hurwitz matrix is automated. On the basis of the analysis of the properties of the main minors of the Hurwitz matrix, the stability of the studied system was analyzed.

2

The Stability Interval of the Set of Linear System

Mazakov Talgat, Wójcik Waldemar, Jomartova Sholpan, Karymsakova Nurgul, Ziyatbekova Gulzat, Tursynbai Aisulu

International Journal of Electronics and Telecommunications

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2021

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Vol. 67, No. 2

155--161

EN

The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and LienardShipar interval criteria. Krylov, Leverier, and Leverier-Danilevsky algorithms are implemented for automated construction and analysis of the interval characteristic polynomial. The interval mathematics library was used while developing the software. The stability of the dynamic system described by linear ordinary differential equations is determined and based on the properties of the eigenvalues of the interval characteristic polynomial. On the basis of numerical calculations, the authors compare several methods of constructing the characteristic polynomial. The developed software that implements the introduced interval arithmetic operations can be used in the study of dynamic properties of automatic control systems, energy, economic and other non-linear systems.

3

The enhanced method of a spectrum’s window estimation

Kulyk Yaroslav, Knysh Bohdan, Ivanov Yuryy, Poplavskyy Anatolii, Kotyra Andrzej, Denissova Nataliya, Ziyatbekova Gulzat

Przegląd Elektrotechniczny

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2019

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R. 95, nr 4

151--157

EN

In this paper is proposed the advanced method of the spectrum’s window estimation, which, in opposition to currently existing methods, uses the mean multiwindow estimation of the logarithm’ signal spectrum, which cause the more strict signal’s spectrum estimation and increasing the efficiency of the trash-hold methods of the signals estimation. Analyzing its efficiency is provided by the means of the numerical experiments and by the implementation of modeling the nets can program.

PL

W artykule przedstawiono zaawansowaną metodę estymacji okna widmowego, która wykorzystuje średnią wielookienkową estymację widma sygnału logarytmicznego. Analizowanie efektywności metody odbywa się za pomocą eksperymentów numerycznych oraz poprzez wdrożenie modelowania sieci z możliwością programowania.

4

Mathematical models of dynamics of friable media and analytical methods of their research

Sokil Bohdan I., Senyk Andriy P., Sokil Maria B., Andrukhiv Andriy I., Kovtonyuk Mariana M., Gromaszek Konrad, Ziyatbekova Gulzat, Turgynbekov Yerbol

Przegląd Elektrotechniczny

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2019

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R. 95, nr 4

74--78

EN

The method of studying the process of vibroseparation or adhesion of friable media has been developed. The analytical solution of this mathematical model of the researched system for resonance and nonresonance cases was constructed. It is established that the relative amount of friable medium motion greatly affects the quantitative and qualitative parameters of the system oscillations, in particular, the increase in the amount of motion of a friable media causes a decrease in the amplitude of the system in the transition through the resonance.

PL

Opracowano metodę badania procesu separacji wibracyjnej oraz przyczepności materiałów sypkich. Zbudowano model matematyczny badanego systemu dla przypadków występowania rezonansu i jego braku. Ustalono, że wielkość przesunięcia względnego materiału sypkiego znacznie wpływa na parametry ilościowe i jakościowe oscylacji systemu, w szczególności zwiekszenie przesunięcia materiału sypkiego powoduje zmniejszenie amplitudy systemu podczas przejścia przez rezonans.

5

Assessment of information support quality by “friend or foe” identification systems

Svyd Iryna Iryna., Obod Andrii I., Zavolodko Ganna E., Melnychuk Iryna M., Wójcik Waldemar, Orazalieva Sandugash, Ziyatbekova Gulzat

Przegląd Elektrotechniczny

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2019

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R. 95, nr 4

127--131

EN

Based on the assessment of the aircraft responders and ground-based radio transponders noise immunity it is shown that the identification “friend-or-foe” systems have a low quality of informational support of the air space control system due to the openness of the interrogation channel and, as a consequence, the possibility of the concerned party to influence on the quality of operation of the aircraft responder due to the radiation of simulated interrogation signals of the simulation steady mode.

PL

W oparciu o ocenę odporności na zakłócenia transponderów statków powietrznych i naziemnych transponderów radiowych wykazano, że systemy identyfikacji "przyjaciel-nieprzyjaciel" mają niską jakość informacyjnego wsparcia systemu kontroli przestrzeni powietrznej ze względu na otwartość kanału zapytania, a w konsekwencji możliwość, aby zainteresowana strona wpłynęła na jakość działania statku powietrznego odpowiadającego na promieniowanie symulowanych sygnałów zapytania w symulacji w trybie ustalonym.