Synthesis of an Automatic Control System with Pulse-width Modulation According to the Speed Criterion

The problems of synthesizing optimal control actions in systems with pulse-width modulation encounters difficulties associated with the obtained sufficiently simple expressions, which gives a correct solution, intended use of the results in control problems for complex discrete dynamic objects in real time. The use of existing methods does not give acceptable results even with the use of modern computing facilities, due to the cumbersomeness of the results obtained, as well as the difficulty of ensuring the physical realizability of the expressions obtained. In this regard, the development of machine-oriented methods for the synthesis of optimal control actions in a system with pulse-width modulation, the use of which does not require a large mathematical calculation, and having a large degree of formalization, is undoubtedly an urgent scientific and technical problem. This task becomes especially relevant with the widespread use of microcontrollers in the control of technological processes. When synthesizing optimal control actions in systems with pulse-width modulation, difficulties arise in obtaining sufficiently simple equations, the solution of which can give incorrect and unacceptable results for further use. In addition, the use of existing methods for solving such problems, even with the use of modern computer technology, cannot guarantee obtaining acceptable results. Therefore, the development of machine-oriented methods for the synthesis of control actions in systems with pulse-width modulation, the application does not require a lot of mathematical training, making intuitive decisions in the implementation of various kinds of assumptions and having a sufficiently large degree of formality, undoubtedly, is an urgent task.

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