Distributed State Estimation for Fractional-Order Linear Systems Based on A Network of Reduced-Order Centralized Observers

This paper considers a 6-dimensional fractional-order linear system equipped with a sensor network digraph containing 4 sensors. The objective is to develop a method for distributed state estimation. First, based on the assumption of strong connectivity, a compensation set is introduced to construct the transformation matrix. Then, the relationship between the transformed state at each node and the transformed observable states of the 4 nodes is established. In the light of this relationship, 4 centralized fractional-order observers with dimensions smaller than 6, are employed to estimate the 4 observable states, thereby realizing distributed estimation. In the end, a numerical example is presented to verify the availability of the proposed method.