Numerical form of the automatic-control system mathematical models based on the real interpolation method approach

Goncharov, V.V.; Rudnicki, V.; Liepinsh, Andrey

doi:10.1109/icieam.2017.8076431

Cited by 3 publications

(3 citation statements)

References 9 publications

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“…One of the methods developed by А.С. Коновалов and И.А.Орурк [33], determining the function has the form (12) with:…”

Section: Synthesis Of Magnetic Flux Control Loopmentioning

confidence: 99%

“…The essence of the synthesis method applying the real interpolation method is to convert the synthetic equation ( 15) to the form with real arguments [33][34][35], choose the distribution rule of interpolated nodes δ i , for example: (16) with η -the number of nodes or establishment the nodes {δ i } n to coincide with the zero points of a Chebyshev polynomial of the first order of degree η (T n (x)) to increase the total accuracy [36]: (17) with: a-The real parameter is used to correct the synthesis error, and {x i } nroots of equation: T n (x) =0, which is determined by the relation [36]: (18) Note that the feedback coefficients k d can be determined from the condition: (19) with, ΔH d -error in the settling mode. Solving equation (15) with two interpolated points (δ 1 , δ 2 ) in the interval δ ∈ [0.1,2], and the interpolation step: Δδ = 0.1, we get the results in Table 1.…”

Section: Synthesis Of Magnetic Flux Control Loopmentioning

confidence: 99%

“…Based on the above analysis, this study proposes a solution to synthesize and calibrate the regulator using the real interpolation method. This method has a simple procedure and allows for a reduction in computational volume, while preserving the specific features and effects of conveyors on the system [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Interpolation synthesis of thecontrollers for a multi-motorelectric drive system containingan elastically linked element

Nguyen Phu,

Vu Duc,

Kumar Solanki

et al. 2023

ing. Solidar

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Partial differential equations, integral, differential, or other equations describe multi-motor automatic electric drive systems containing elastic conveyor belts. Because of the elastic and distributive nature of the system parameters, the transfer function describing them is often a complex expression, containing not only the arguments as a linear system but also the inertial and transcendental components. This makes the precise control of tension and speed synchronously much more complicated than the centralized parameter system. A promising numerical solution based on the real interpolation method will simplify the procedure for synthesizing control loops while preserving the characteristic properties of objects with distributed parameters. The objective of the study is to propose a feasible solution for synthesizing the regulators based on the real interpolation method; it allows direct operation with the original transfer function containing the inertial and transcendental components. In this paper, we proposed an approach to synthesize the control system for objects with distributed parameters using the real interpolation method to reduce computational capacity and synthesis error while preserving the properties of this object class. Building an experimental model of the two-motor electric drive system containing an elastic conveyor to verify the effectiveness of the proposed algorithm. The simulation and experimental results indicate that the control system with the received regulators operating stably and meets the required quality criteria. It proves the efficiency of the synthesis algorithm based on the real interpolation method.

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“…One of the methods developed by А.С. Коновалов and И.А.Орурк [33], determining the function has the form (12) with:…”

Section: Synthesis Of Magnetic Flux Control Loopmentioning

confidence: 99%