Distributed filtering method based on mass spring damping system

The invention discloses a distributed filtering method based on a mass spring damping system. The method comprises the following steps: 1, establishing a dynamic model of a saturated mass spring damping system in a fractional order state under the influence of a network attack; 2, designing a distributed state saturation filter; 3, calculating a one-step prediction error covariance upper bound phi i, s + 1s of the i-th sensor node at the s-th moment; 4, deducing a distributed filter parameter # imgabs0 # of the ith sensor node at the (s + 1) th moment according to phi i, s + 1s; 5, substituting # imgabs1 # into a distributed state saturation filter to obtain filtering # imgabs2 # of the ith sensor node at the (s + 1) th moment, and if s + 1 is less than M, executing 6; 6, solving the filtering error covariance upper bound phi i, s + 1s + 1 of the ith sensor node at the (s + 1) th moment according to # imgabs3 #; and letting s = s + 1, and executing the second step until s + 1 > = M. According to the method, t