DEVELOPMENT OF SYNTHESIS OF ADAPTIVE CONTROL SYSTEMS BASED ON LYAPUNOV FUNCTIONS

It is considered the problem of ensuring the rapid convergence of the process in the adaptive system with the reference model. To solve this problem, it is proposed to use two stages of adaptation. Firstly, the adaptation to the change in object of control parameters, and secondly - adaptation to the characteristics of the reference model, due to usage of PID controllers. The application of Lyapunov functions provide for the investigating system the stable functioning corridor. Are given the results of adaptive systems simulation in a wide range of changes the parameters of the control object.