Inversion of Dynamic Systems for Certain Classes of Signals
Вантажиться...
Дата
2019
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
Анотація
Methods of inversion of dynamic systems are widely used for solving problems of control of mechanical and electrical systems. Solving the inversion problems raises a number of difficulties related to the high sensitivity of the results with respect to the accuracy of setting the parameters of a mathematical model of object parameters, instability in controlling non-minimum phase objects, and violation of the conditions of physical realizability. In this paper, an approximate method of solving the inversion problem for linear stationary dynamic systems is proposed which is largely free from those disadvantages. The method is based on the representation of the input and output signals by their approximations in the linear space of specially selected D-functions of time. The feature of the proposed method of inversion of dynamic systems is the representation of multidimensional polynomials approximating the input and output signals as a product of rectangular matrices and a vector of powers of time. Mathematical models of linear dynamic systems in the form of differential equations in the state space and in the equivalent input-output form, as well as SISO and MIMO dynamical systems are considered in the paper.
Опис
Ключові слова
dynamical systems, polynomial signals, quasi-harmonic functions, matrix equations, динамічні системи, поліноміальні сигнали, квазігармонічні функції, матричні рівняння
Бібліографічний опис
Kutsenko A. Inversion of Dynamic Systems for Certain Classes of Signals [Electronic resource] / Alexander Kutsenko, Sergey Kovalenko, Vladimir Tovazhnyanskyy // Computer modeling and intelligent systems (CMIS-2019) : proc. of the 2th Intern. workshop, April 15-19, 2019. – Vo l. 2353. – Electronic text data. – Zaporizhzhia, 2019. – P. 391–401. – URL: http://ceur-ws.org/Vol-2353/paper31.pdf, free (accessed 04.11.2022).