MEMBERSHIP FUNCTIONS SHAPE AND ITS INFLUENCE ON THE STABILITY OF FUZZY CONTROL SYSTEMS

In the present paper the investigation of the influence of nonlinearities in membership functions shape on stability of the system linear object-nonlinear fuzzy logic controller is carried out by means of the second Lyapunov's method. The extension of the circle stability criterion for the transformed in the space of error and its derivative system is derived. Simulation investigations with a simple linear object that prove the obtained theoretical results are carried out.