Fixed-Time Synchronization Control for a Class of Master–Slave Systems Based on Homogeneous Method

This brief investigates the fixed-time synchronization problem for a class of master-slave systems with second-order nonlinear dynamics via output feedback. Based on the homogeneous system theory, a new fixed-time synchronization control algorithm and a fixed-time observer are designed such that the synchronization of master-slave coupling systems can be achieved in a fixed time. It is theoretically shown that the synchronization time can be pre-determined which is independent of any initial conditions. Numerical simulations on synchronization of master-slave nonlinear forced pendulum systems are finally performed to illustrate the effectiveness of the proposed method.