A new reduced-order observer design for the synchronization of Lorenz systems

In this paper we tackle the synchronization of Lorenz system problem using a new proportional reduced-order observer design in the algebraic and differential setting. We prove the asymptotic stability of the resulting error system and by means of algebraic manipulations we obtain the estimates of the current states (master system), the construction of a proportional reduced-order observer is the main ingredient in our approach. Finally, we present a simulation to illustrate the effectiveness of the suggested approach.