TOPOLOGICAL INTERPOLATION METHOD FOR MODELING DYNAMIC SYSTEMS

Authors

Isamiddin Xakimovich Siddikov, Tashkent State Technical University, Address: 2 Universitetskaya st., 100095, Tashkent city, Republic of Uzbekistan, E-mail: isamiddin54@gmail.com, Phone: +998-90-359-52-68;Follow
Dilnoza Maxamadjanovna Umurzakova, Fergana branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Address: 185 Mustakillik st., 150118, Fergana city, Republic of Uzbekistan, E-mail: umurzakovadilnoz@gmail.com, Phone: +998-99-910-04-06.Follow

Abstract

The method of simulation structural-complex continuous-discrete control systems is discussed. For simulation and calculation of dynamic processes in continuous-discrete systems topological interpolation method is proposed, based on application of hybrid methods of space of state variables and interpolation of signals. The essence of the method is that the dynamics of the investigated system, considered at the final interval, is broken down into subintervals, on each of which the processes are described by linear ordinary system differential equations. The computational efficiency of the proposed method was evaluated by comparison with standard methods such as the Runge-Kutta-Merson method. The use of this method to calculate the dynamic processes described by the non-linear or piecemeal differential equations with the right breaking part allows to reduce the number of calculations by 2^n-1 times compared to the known methods and to eliminate operations related to decomposition of the fundamental matrix in the Taylor power series.

First Page

40

Last Page

51

References

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Recommended Citation

Siddikov, Isamiddin Xakimovich and Umurzakova, Dilnoza Maxamadjanovna (2023) "TOPOLOGICAL INTERPOLATION METHOD FOR MODELING DYNAMIC SYSTEMS," Chemical Technology, Control and Management: Vol. 2023: Iss. 3, Article 6.
DOI: https://doi.org/10.59048/2181-1105.1465