Output-based algebraic disturbance estimation method for a class of disturbed fractional order linear systems

In this paper, novel output-based algebraic integral formulas are provided to estimate disturbances for a class of fractional order linear systems. First, the disturbed fractional order linear systems are formulated into a pseudo-state space representation with exogenous disturbances. Second, in order to estimate the disturbances with fast convergence and good robustness to noises, the output-based algebraic integral formulas of the exogenous system's initial value are derived by using the modulating functions. Finally, numerical simulation results are presented to illustrate the efficiency and robustness of the proposed algebraic disturbance estimation method.