This work presents the design of fractional reset controller based fractional extended state observer for the time-invariant fractional linear systems. A rigorous L2 stability analysis of the closed-loop system are presented by employing the Lyapunov stability theorem as well as efficient linear matrix inequalities. By designing the fractional reset controller incorporated with a disturbance observer, the effect of the disturbance in the output of the system is removed significantly. In this case, the L2 gain relation from the disturbance input to the output of the closed-loop system is proved. To investigate the efficiency of this control scheme, the proposed reset controller is applied to the fractional model of a DC–DC Buck converter. Moreover, to validate the efficiency and robustness of our method, the fractional sliding mode control scheme based disturbance observer is designed in order to compare the results with the proposed reset control technique. Finally, the simulation results show the effectiveness and applicability of the proposed reset control scheme.

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