Synchronization of two Lur'e differential inclusions with input sector nonlinearity and unknown parameters

Abstract

This paper deals with the synchronization of two Lur'e differential inclusions containing sector nonlinearities. Lyapunov stability theorem is employed to design the control inputs. The controllers are designed considering three important practical features in physical systems. First, differential equation part of the Lur'e differential inclusion is assumed to be convex. Second, it is presumed that parameters of the Lur'e differential inclusion are not completely known. Third, sector nonlinearities are considered on control inputs applied to the Lur'e differential inclusions. To assess performance and effectiveness of the proposed controllers, a rotor dynamic system is simulated.