LAUSR

This paper proposes a novel filtering strategy characterized by an impulsive differential system. It provides an alternative solution to the problem of $$L_2-L_\infty $$L2-L∞ filtering for two kinds of network-based linear time-invariant systems. The presented method highlights two features, “plug and play” and “always feasible,” because it is simple and does not need to solve any complex constrained optimization problems. For measurable and unmeasurable system states, two different filter frameworks are presented, respectively. The proposed filtering strategy could guarantee the asymptotic stability of the filtering error system, while ensuring an $$L_2-L_\infty $$L2-L∞ performance. At the same time, the relationship between the $$L_2-L_\infty $$L2-L∞ disturbance attenuation level bound $$\gamma $$γ and the maximum time-delay upper limit $$\tau _\mathrm{m}$$τm is given. Finally, three illustrative examples are given to demonstrate the effectiveness of the proposed approach.