Design of optimal high-order speed controller

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Authors:

O.O. Aziukovskyi, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Senior Lecturer of the Department of Electric Drive, Dnipropetrovsk, Ukraine.

A.V. Bakutin, State Higher Educational Institution “National Mining University”, Postgraduate Student of the Department of Electric Drive, Dnipropetrovsk, Ukraine.

Abstract:

Purpose. To design the optimal squirrel-cage motor speed control device with high order transfer function.

Methodology. For the estimation of the optimal speed controller we have used the quadratic integral performance criterion, which allows obtaining the analytical solution for the synthesis problem. The optimization problem has been solved by minimization of the functional, which reflects the requirements and limitations of the electromechanical system.

Findings. The transfer functions of the system with respect to the control signal and the superimposed noise have been obtained. The structure and parameters of the correction link transfer functions in the direct and feedback channels have been defined. Using mathematical simulation the capability of the constructed control device to design task has been confirmed.

Originality. To define parameters of the correction link in the direct and feedback channels the analytic expressions have been obtained.

Practical value. For the control device design the choice of the quality criteria and the control system limitations have been justified. For multi criteria optimization of the induction motor speed control the acceptable group of devices, within which the best option for necessary quality criteria is searched, must be synthesized. The calculated controller with maximum difficulty defines the upper bound of the acceptable group of control devices. For the subsequent synthesis of the optimal control device for the electromechanical system the controller with minimum difficulty must be estimated. Multicriteria analysis of the control devices with predetermined transfer function order within the acceptable group of devices must be carried out.

 

References:

 

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