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 Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 4, Pages 625–632 (Mi zvmmf10558)

An analytic-numerical method for the construction of the reference law of operation for a class of mechanical controlled systems

A. D. Mizhidon, K. A. Mizhidon

East Siberia State University of Technology and Management, Ulan-Ude, Russia

Abstract: An analytic-numerical method for the construction of a reference law of operation for a class of dynamic systems describing vibrations in controlled mechanical systems is proposed. By the reference law of operation of a system, we mean a law of the system motion that satisfies all the requirements for the quality and design features of the system under permanent external disturbances. As disturbances, we consider polyharmonic functions with known amplitudes and frequencies of the harmonics but unknown initial phases. For constructing the reference law of motion, an auxiliary optimal control problem is solved in which the cost function depends on a weighting coefficient. The choice of the weighting coefficient ensures the design of the reference law. Theoretical foundations of the proposed method are given.

Key words: reference law of operation, optimal control, state constraints, polyharmonic disturbance, weighting coefficient, mean-root-square cost function.

 Funding Agency Grant Number Russian Foundation for Basic Research 15-08-00973_à15-41-04020_ð_ñèáèðü_à

DOI: https://doi.org/10.7868/S0044466917040081

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English version:
Computational Mathematics and Mathematical Physics, 2017, 57:4, 626–633

Bibliographic databases:

UDC: 519.626
Revised: 07.07.2016

Citation: A. D. Mizhidon, K. A. Mizhidon, “An analytic-numerical method for the construction of the reference law of operation for a class of mechanical controlled systems”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 625–632; Comput. Math. Math. Phys., 57:4 (2017), 626–633

Citation in format AMSBIB
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