Chaotic system synchronization with tridiagonal structure and its initial investigation in complex power systems

Abstract

Recently, existence of dynamical bifurcations and chaos has been shown by some researchers in simple power system networks. In this paper, a novel approach is first proposed to design stabilizing controllers for synchronization of chaotic systems with a tridiagonal structure and its initial investigation in complex power systems. During the design procedure, an original nonlinear affine system is firstly transformed into a stable system with special tridiagonal structure. Secondly, controllers are developed to synchronize the transformed chaotic system. It is the first time that chaotic synchronization and its initial application have been studied in complex power systems with tridiagonal structure. Finally, the Lü system, the Chua circuit system and the Van der Pol system are used to demonstrate the effectiveness of the proposed approach by applying them to a standard power system.