Robust Anti-synchronization for Nonlinear Chaotic Dynamic Systems via Error Passivation

摘要

This paper proposes a new robust anti-synchronization scheme for nonlinear chaotic systems with external disturbance via passivity theory. The proposed anti-synchronization controller ensures that the anti-synchronization error system is passive from external disturbance to output based on Lyapunov theory and linear matrix inequality (LM1) formulation. Without external disturbance, it guarantees asymptotic stability- Our new controller can be constructed by solving the LMI feasibility problem. Via the simulation study for the Genesio-Tesi chaotic system, we demonstrate the effectiveness of the proposed anti-synchronization scheme.