This paper deals with the methods for investigating the nonlinear dynamics of discrete chaotic systems (DCS) applied to piecewise linear systems of the third order. The paper proposes an approach to the analysis of the systems under research and their improvement. Thus, effective and mathematically sound methods for the analysis of nonlinear motions in the models under consideration are proposed. It makes it possible to obtain simple calculated relations for determining the basic dynamic characteristics of systems. Based on these methods, the authors developed algorithms for calculating the dynamic characteristics of discrete systems, i.e. areas of the existence of steady-state motion, areas of stability, capture band, and parameters of transients. By virtue of the developed methods and algorithms, the dynamic modes of several models of discrete phase synchronization systems can be analyzed. They are as follows: Pulsed and digital different orders, dual-ring systems of various types, including combined ones, and systems with cyclic interruption of auto-tuning. The efficiency of various devices for information processing, generation and stabilization could be increased by using the mentioned discrete synchronization systems on the grounds of the results of the analysis. We are now developing original software for analyzing the dynamic characteristics of various classes of discrete phase synchronization systems, based on the developed methods and algorithms.

Development of effective monitoring systems of power exchange fluctuations and proportional alignment of loading on gas-diesel-generator units requires carrying out detailed researches both their own fluctuations, and exchange fluctuations in case of parallel work of several units. Carrying out such researches on real objects is limited to their considerable cost and can be given only at the final stage. Therefore it is very important for developers to have adequate models of the studied objects.The researches of output voltage frequency fluctuations for real objects executed by authors showed that in general they have casual character, and these fluctuations in all range of loadings represent non-stationary casual process with the changing population mean and dispersion. Authors developed mathematical model of the regulator stabilizing exchange fluctuations of power in the studied system. But there was a question of its hardware realization because it requires solving the problem of identification of the structure of this system and on-line monitoring of changes in its parameters and signals.The authors have proposed a candidate solution for such a problem through the example of identification and synthesis of the system of measuring system performance indicators required to appraise the electric power quality in this system and, as consequence, performance quality.Index Terms-Drilling platforms, electric power quality, gasdiesel-generator units, identification and tracking.

The use of semiconductor converters as a part of sea drilling platforms' electrical power systems is the cause of rising of electromagnetic compatibility and inactive power problems that demands an incorporation of the active filter compensation devices. It is known that in such real systems the capacitor of filter is discharging because of the existence of active power losses and it has negative impact on electric power quality. In the article, authors propose advanced ANFIS controller that allows to reduce the maximum voltage deviation on capacitor bank, and to reach of the established voltage value within several periods of circuit voltage. The suggested controller was modeled in the ANFIS editor of the MATLAB software environment. It is shown that by mean of number of proposed innovations the consumed computing power of the digital system realizing the ANFIS controller decreased in dozens of times in comparison with regular fuzzy logic controller implementation.

The calculation and results of simulation of the magnetic control system for the spacecraft momentum are presented in the paper. The simulation includes an assessment of the reliability of calculating the Earth's magnetic field parameters, as well as an assessment of the quality of object stabilization by resetting the total momentum with the aid of the system under review. The outcome of a comparative analysis of resource efficiency and energy efficiency are demonstrated in the implementation of the proposed hardware models of controllers on FPGA. The strengths and weaknesses of the programming models are shown. The developed models will allow to be modified and perform more complex operations in the future.

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