Simultaneous Algebraic Estimation of Pseudo-State and Disturbance for a Class of Fractional Order Linear Systems

In this paper, the pseudo-state and the disturbance of a class of fractional order linear systems are simultaneously estimated via an algebraic approach. To achieve this, an augmented fractional order system model is provided for the studied fractional order linear system. Then, the pseudo-state of the augmented fractional order system is estimated using the fractional order modulating functions method. Further, the pseudo-state and the disturbance of the original system are recovered based on the augmented fractional order system. Simulation example illustrates the efficiency of the proposed method under the condition of noisy output measurements.