Free chattering synchronization of two Lur´e differential inclusions with sector input nonlinearity

This paper deals with the synchronization of two Lur´e differential inclusions containing sector nonlinearity. 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, synchronization of two rotor dynamic systems is simulated.