Geodesic
The controller with installed polling program model for vector control systems
Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 127-138

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An approach to digital controller's programs design, that perform the functions both sensors and actuators polling control, and control actions calculation, id worked out. Three types of control action computation vector algorithms: the solving systems of difference equations, calculation the digital convolution and PID controller are investigated: It is shown that the controller, as a real physical device, when implementing a polling program on it, is a time-setting element, and provides not only a specified peripheral devices polling period, but also time delays between transactions. An estimation of time intervals using the semi-Markov model of the polling algorithm with a Hamiltonian transaction management cycle is made. The model of a closed linear vector control system shows the influence of time delays on such system characteristics as overshoot and time to reach steady state. A method has been developed for polling algorithm synthesis using a control system matrix model that takes into account the real characteristics of the controller as the device included in the vector feedback loop.
Keywords: vector control, polling algorithm, transaction, time delay, semi-Markov process. 
@article{CHEB_2024_25_2_a7,
     author = {E. V. Larkin and V. S. Salnikov and S. A. Skobel'tsyn},
     title = {The controller with installed polling program model for vector control systems},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {127--138},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a7/}
}
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E. V. Larkin; V. S. Salnikov; S. A. Skobel'tsyn. The controller with installed polling program model for vector control systems. Čebyševskij sbornik, Tome 25 (2024) no. 2, pp. 127-138. http://geodesic.mathdoc.fr/item/CHEB_2024_25_2_a7/