transfer function

The low-temperature separation (LTS) process is widely used for moisture and condensate removal in natural gas treatment and is typically controlled using local automation systems. However, the process is inherently multivariable, with strong cross-couplings between inputs and outputs, and is significantly affected by external disturbances. This study defines the control inputs as actuator signals on the gas and condensate outlet lines, while the outputs are the gas pressure and condensate level in the separator.

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.

Aim. The research aims to develop a method of optimal PI-controller tuning, which allows to take into account the constraints and to minimize the undesirable indicators of the automatic control quality. Method. In order to carry out the investigation, the problem of optimal PI-controller tuning was stated in a general form. The analysis of the elements of the problem has been conducted. It allowed substituting the elements to the requirements of individual minimization criteria.

The article discusses the use of structured characteristic equations to develop programs setting system variables. The relative units system designed for calculation of a set of options of automatic control. The possibility of using these units investigated to simplify the mathematical description of the system.

The goal of this paper is an experimental measurement of the frequency response of the software phase-locked loop (PLL) transfer function using frequency modulated signals.