PROCEDURE FORMALIZATION FOR CONSTRUCTING AN ADAPTIVE CONTROL SYSTEM WITH A REFERENCE MODEL BASED ON THE LYAPUNOV FUNCTION

Discusses the formalization of the procedure for constructing an adaptive control system with a reference model based on the Lyapunov function. It is shown that the asymptotic stability of the extended system of differential equations guarantees accurate tracking of the desired output signal of the model. At the same time, the expediency of analyzing the asymptotic stability of the system in extended space using the Lyapunov function is shown. The above algorithms help to stabilize the computational matrix inversion procedure and thereby increase the accuracy of estimating the adjustable parameter in an adaptive control system