Development of models and algorithms for studying multi-dimensional systems with latitude-impulse modulation

What is it about?

The paper deals with the development of mathematical models and algorithms for studying the dynamic characteristics of multidimensional discrete control systems with pulse-width modulation. The analysis of the existing methods for solving the problem has been carried out, as a result of which the paper proposes to consider the dynamics of a discrete system in the class of a system with a dynamic structure, which allows partitioning the dynamics of the system into linear sections based on the physical features of the operating modes of modulators with nonlinear modulation characteristics. The selection of a set of structural states in accordance with the moments of closure of transmission channels makes it possible to represent the original -dimensional nonlinear pulse-width system (PWS) in the form of a set of linear subsystems interacting with each other. In this case, the nonlinearity of the original system manifests itself through the time of pulse fixation determined according to the nonlinear law within each of the structural states. The proposed technique is distinguished by its simple implementation in the tasks of controlling technological processes using microcontrollers to identify and take into account the peculiarities of the control process in real objects.

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Photo by Jair Lázaro on Unsplash

Photo by Jair Lázaro on Unsplash

Why is it important?

The paper deals with the development of mathematical models and algorithms for studying the dynamic characteristics of multidimensional discrete control systems with pulse-width modulation. The analysis of the existing methods for solving the problem has been carried out, as a result of which the paper proposes to consider the dynamics of a discrete system in the class of a system with a dynamic structure, which allows partitioning the dynamics of the system into linear sections based on the physical features of the operating modes of modulators with nonlinear modulation characteristics. The selection of a set of structural states in accordance with the moments of closure of transmission channels makes it possible to represent the original -dimensional nonlinear pulse-width system (PWS) in the form of a set of linear subsystems interacting with each other. In this case, the nonlinearity of the original system manifests itself through the time of pulse fixation determined according to the nonlinear law within each of the structural states. The proposed technique is distinguished by its simple implementation in the tasks of controlling technological processes using microcontrollers to identify and take into account the peculiarities of the control process in real objects.