Novel adaptive feedback synchronization scheme for a class of chaotic systems with and without parametric uncertainty

• New adaptive control design strategy to address chaotic system synchronization in master-slave configuration.
• To derive control structure using model reference adaptive control like approach.
• Extension of results to address general case with known and unknown system parameters.
• Application of proposed strategy to chaotic systems.

In this paper, a new adaptive feedback control design technique for the synchronization of a class of chaotic systems in master–slave configuration is proposed. The controller parameters are assumed to be unknown and are evolved using adaptation laws so as to achieve synchronization. To replicate real system operation, uncertainties are considered in both master as well as salve system parameters and adaptation laws for uncertain parameters are analytically derived using Lyapunov stability theory. The proposed strategy is derived by mimicking model reference adaptive control like structure for synchronization problem. To validate the methodology, two Genesio–Tesi systems and two Rossler's Prototype-4 systems are considered in master–slave configuration for synchronization. The analysis is done first with known system parameters and then uncertainties in system parameters are considered. Finally, detailed simulation results are provided to illustrate the effectiveness of the proposed results.