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This article is cited in 2 scientific papers (total in 2 papers)
Application of linear programming techniques for controlling linear dynamic plants in real time
R. Gabasova, F. M. Kirillovab, Vo Thi Thanh Haa a Belarusian State University, pr. Nezavisimosti 4, Minsk, 220080, Belarus
b Institute of Mathematics, National Academy of Sciences of Belarus, ul. Surganova 11, Minsk, 220072, Belarus
Abstract:
The problem of controlling a linear dynamic plant in real time given its nondeterministic model and imperfect measurements of the inputs and outputs is considered. The concepts of current distributions of the initial state and disturbance parameters are introduced. The method for the implementation of disclosable loop using the separation principle is described. The optimal control problem under uncertainty conditions is reduced to the problems of optimal observation, optimal identification, and optimal control of the deterministic system. To extend the domain where a solution to the optimal control problem under uncertainty exists, a two-stage optimal control method is proposed. Results are illustrated using a dynamic plant of the fourth order.
Key words:
nondeterministic model, control under the conditions of multiple uncertainty, observation, identification, real-time control, a priori and current closed-loop controls, separation principle, twostage method.
Received: 15.12.2014
Citation:
R. Gabasov, F. M. Kirillova, Vo Thi Thanh Ha, “Application of linear programming techniques for controlling linear dynamic plants in real time”, Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016), 394–408; Comput. Math. Math. Phys., 56:3 (2016), 382–395
Linking options:
https://www.mathnet.ru/eng/zvmmf10357 https://www.mathnet.ru/eng/zvmmf/v56/i3/p394
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