2022
DOI: 10.1088/1742-6596/2388/1/012051
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Formalization of the problems of synthesizing adaptive control systems with reference models

Abstract: The problem of synthesizing adaptive control systems for continuous technological objects is an urgent scientific problem, the solution of which has the great theoretical and applied significance. This article covers the formalization of the problem of synthesizing adaptive control of complex objects based on reference models. The direct approach is connected with the use of a standard, under which the running of the entire system or its part is adjusted. The correction is performed based on minimizing the qua… Show more

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Cited by 7 publications
(10 citation statements)
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“…To lead to the main result of the proposed article, attention is focused on an exceptional methodological approach [12][13][14][15][16][17][18][19][20] based on the analysis of derivatives of input and output signals that are available for measurement. This method represents a unique and innovative way that provides compelling evidence of the effectiveness and feasibility of our new control algorithm.…”
Section: Resultsmentioning
confidence: 99%
“…To lead to the main result of the proposed article, attention is focused on an exceptional methodological approach [12][13][14][15][16][17][18][19][20] based on the analysis of derivatives of input and output signals that are available for measurement. This method represents a unique and innovative way that provides compelling evidence of the effectiveness and feasibility of our new control algorithm.…”
Section: Resultsmentioning
confidence: 99%
“…But the Kotelnikov series is not very convenient, in comparison with other series, in software and hardware reconstruction, which most often determines the choice in favour of power series, Lagrange polynomials, etc. [10][11][12][13][14][15]. In the proof of the sampling theorem it is assumed that an infinite Kotelnikov series is used to recover the information.…”
Section: Discussionmentioning
confidence: 99%
“…Analysis of expressions (9) (10) allows us to draw an important conclusion: approximation can be used only for recovery of signals, spectra of which are finite and it is possible to specify the boundary frequency. But, as noted earlier, real signals have infinite spectra and the description of the sampling-recovery process only by means of approximating polynomials does not allow taking into account all components of the error.…”
Section: Methodsmentioning
confidence: 99%
“…The problem of controlling the grinding process is to take into account the increased correlation between factors, large time delays, uncontrolled perturbations, changes in parameters in time, nonlinearity of the technological process, as well as the suboptimal design of the grinding plant [9][10][11]. This is achieved by introducing into the predictive model the description of uncertainties and cases of deviation from the technological process.…”
Section: Methodsmentioning
confidence: 99%