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This manuscript addresses a methodology for investigating compound synchronization in a class of commensurate FO chaotic Genesio-Tesi system using DOB adaptive sliding mode control technique among fractional order chaotic systems with unknown bounded disturbances. The unknown disturbances are estimated using the nonlinear fractional order disturbance observer. Sliding mode technique has been employed by considering a simple sliding surface among four identical fractional order chaotic systems to achieve the desired synchronization which is further based on Lyapunov stability theory. The obtained results have been compared with prior published literature to realize the robustness of the proposed strategy. Finally, some numerical results using MATLAB are illustrated for visualizing the effectiveness and the correctness of the developed approach on the considered system in the presence of external disturbances.

Compound synchronization using disturbance observer based adaptive sliding mode control technique