Abstract
To create control systems for various objects, their mathematical models are used. They are obtained, often experimentally, by approximating arrays of numerical data. With significant non-linearity of the data, they are approximated at separate sites. However, such a fragmentary model of a nonlinear object as a whole is not analytical, which excludes the use of most methods for the synthesis of nonlinear controls. In such a situation, there is the prospect of applying the Cut-Glue approximation method, which allows us to obtain a common object model as a single analytical function. The chapter considers the theory and application of this method to the synthesis of nonlinear control. The mathematical model obtained by the Cut-Glue approximation method is reducing to a quasilinear form, which makes it possible to find a nonlinear control by an analytical method.
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The Russian Fund of Basic Research (grant No. 18-08-01178\19) supported this research.
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Gaiduk, A.R., Neydorf, R.A., Kudinov, N.V. (2020). Application of Cut-Glue Approximation in Analytical Solution of the Problem of Nonlinear Control Design. In: Kravets, A., Bolshakov, A., Shcherbakov, M. (eds) Cyber-Physical Systems: Industry 4.0 Challenges. Studies in Systems, Decision and Control, vol 260. Springer, Cham. https://doi.org/10.1007/978-3-030-32648-7_10
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