передатна функція

Розроблено вертикально-паралельні алгоритми та базову структуру пристрою для обчислення скалярного добутку на основі попередніх обчислень, оцінено затрати обладнання на його реалізацію, запропоновано структуру пристрою для обчислення передатної функції.

Vertical-parallel algorithms and basic structure of the device to calculate the scalar product on the basis of previous calculations have been developed, valuations of hardware expenditure for its implementation has been carried out, structure of the device to calculate the transfer function has been proposed.

The widespread use of mathematical applications, which include differential equations solvers, and the increase in the speed of computing devices have led to a decrease in interest in operator methods, in particular, the z-transform. Nevertheless, the use of the z-transform capabilities allows the implementation of efficient high-speed computing schemes with high numerical stability. The need for this may arise in the case of real-time simulation or the synthesis of digital control systems.

The unexploring problem of digital control systems analyzes in this article — the impact on their behavior of the limited bit resolution of the hardware and, accordingly, the discrete transfer functions coefficients. The research conducted by the zeros/poles and transient characteristics methods using the mathematical application MATLAB with the package Control System Toolbox and confirmed the relevance of this problem.

According to the theory of automatic control, there should be no behavior's difference between an object given by a set of transfer functions, which are respectively interconnected, and a real object, corresponding to such a theoretical structure with given transfer functions. Accordingly, a generalized analysis of the Otto Smith hypothesis regarding the stability indices in automatic control systems with unstable zeros and poles of second-order transfer functions is carried out.