Abstract
The chapter presents a method of reducing the time spent on the experimental study of the frequency properties of a plant with an unknown mathematical model, based on the application of a cyber-physical approach to experiment automation. The processing of experimental data on the response of plant output to an input signal formed as the mixture of harmonic components with different frequencies provides the nonparametric estimation of unknown plant’s frequency characteristics. To divide the output signal into components corresponding to each frequency, computer technology is used, which implements an optimization procedure for finding the values of both the real and imaginary frequency characteristics corresponding to the frequencies represented in the harmonic input signal. The method is also suitable for quick estimation of the frequency characteristics of a plant with an unknown time delay. The chapter considers the application of the frequency properties estimation in the problem of stability analysis of closed-loop systems destined for the plant with incomplete information about its model using a serial connected proportion-integral controller. The results of quick frequency characteristics estimation were applied to transfer function parameters identification. To solve the parameterization problem, the facilities of open source software for numerical computation Scilab were applied for the automatic converting the point-wise frequency characteristics to the corresponding transfer function. The example illustrating the design possibilities of the control system with the plant’s reduced model shows one of the possible applications of the transfer function’s parametric identification results.
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Krushel, E.G., Potafeeva, E.S., Ogar, T.P., Stepanchenko, I.V., Kharitonov, I.M. (2022). On the Possibilities of the Cyber-Physical Approach to Study the Frequency Properties of a Closed-Loop System with Incomplete Information About the Control Plant Model. In: Kravets, A.G., Bolshakov, A.A., Shcherbakov, M. (eds) Cyber-Physical Systems: Modelling and Industrial Application. Studies in Systems, Decision and Control, vol 418. Springer, Cham. https://doi.org/10.1007/978-3-030-95120-7_15
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