Volodymyr Samotyy

In this paper, a new PID-regulator based solution to the scientific and practical problem of increasing the accuracy of regulating the position of a ball on a platform in real time is proposed. A transfer function for balancing a ball on a platform is developed. A PID-regulator for balancing a ball on a platform is synthesized. A PID-regulator implementation on FPGA with parallel calculations is designed. An increased accuracy of regulating the position of a ball on a platform is approved by natural simulation.

This paper discusses the principle of constructing an evolutionary model for the parametric optimisation of electromagnetic instruments with solid-state valves. To illustrate the method, a triple voltage scheme was selected – this converts variable voltage into constant voltage and at the same time, triples the amplitude. Valve operation was modelled according to the ideal key diagram; the considered resistance was that of an open valve.

The mathematical model of a DC motor control system’s dynamic work with series impulse was designed. Control is performed by thyristor’s ignition angle changing with doubling voltage. The parametric optimization was realized by genetic algorithm. The main genetic operators were crossover and mutation.

Proposed a method of optimizing the number of phases of the parametric transducer using RLC-chain and a genetic algorithm that allows the most approximate shape of the transducer output signal to an ideal three-phase voltage.

The result of the research in this article is a mathematical model of thyristor’s system control of DC motor with independent excitation, which includes containing controlled three-phase rectifier. The nonlinear characteristics of transformer’s magnetization was being taken into account. Tyristors’ work in shown by means of a scheme of an ideal key

The optimization of the parameters of the electric furnace temperature control was considered. The optimization was executed using genetic algorithms. The model takes into account nonlinearity, which is connected with the penetration of heat. Also, it is connected with losses of heat due to convection and radiation. The genetic algorithm determines the selection of parameters of the mathematical model in which the system accurately reproduces the input action.

This article presents a modern method of calculating the exponential function exp(x) based on the CORDIC iterative algorithm. The proposed solution is implemented in the form of a single iterative equation, which results in the simplification of the electronic version of this algorithm, thus reducing the cost of the device. It is important to point out that the accuracy of the calculation of the analysed function is not lost.

In this article the methods’ review of a control system’s parametric optimization have been performed. According to the revealed analysis, the genetic algorithms have been chosen as the most appropriate tools for these tasks. Using genetic algorithms, the global optimum could be identified. To demonstrate it the system’s parametric optimization, which consists of controlled three phase half wave rectifier and DC motor with independent excitation has been executed, using a classic genetic algorithm.