The synthesis of the algorithms for adaptive control by nonlinear dynamic objects on the basis of the neural network

Abstract

Abstract The present work is devoted to a problem of Synthesis of the algorithms for adaptive control by nonlinear dynamic objects with the incomplete mathematical description. The method of synthesis adaptive neural networks is considered on the basis of application of some positions of a method of analytical designing. The law of adaptation is defined on a condition of maintenance of stability of the closed system with the help of the second method of Lyapunov. The resulting control systems can operate in uncertain conditions caused by external and internal disturbances. The designed parameter adaptation law of the controllers admits simple implementation, thereby facilitating the on-line adaptation process.