Application of Cut-Glue Approximation in Analytical Solution of the Problem of Nonlinear Control Design

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.