| Issue |
E3S Web Conf.
Volume 210, 2020
Innovative Technologies in Science and Education (ITSE-2020)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 9 | |
| Section | Environmental Engineering | |
| DOI | https://doi.org/10.1051/e3sconf/202021001003 | |
| Published online | 04 December 2020 | |
The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation
1 Don State Technical University, 344003, Gagarin sq., 1, Rostov-on-Don, Russia
2 Rostov State Transport University, 344038, Rostovskogo Strelkovogo Polka Narodnogo Opolcheniya sq., 2, Rostov-on-Don, Russia
3 Moscow State University of Technology and Management named after K.G. Razumovsky, 109004, Zemlyanoy Val st., 73, Moscow, Russia
* Corresponding author: lazarenkosv@icloud.com
A quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative analysis is carried out based on the mathematical simulation using the optimal nonlinear control laws with respect to several criteria. We found that the modes of the proposed control law provide high accuracy of approximation to the optimal performance laws and the Fuller laws, reducing energy costs for control by eliminating more frequent switching. The choice of the parameters of the developed control law makes it possible to implement a wide range of both nonlinear and linear operating modes, which allows to classify the obtained control law as multimode law.
© The Authors, published by EDP Sciences, 2020
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