Resilient HH∞ filtering for discrete-time systems

• The problem of resilient H∞H∞ filtering for discrete-time systems with norm-bounded uncertainties.
• Three different approaches are developed to design the H∞H∞ filter.
• An illustrative example shows that the presented methods are effective and applicable.

This paper studies the problem of resilient H∞H∞ filtering for discrete-time systems with norm-bounded uncertainties. The filter to be designed is assumed to have additive gain variations. Attention is focused on the design of a resilient H∞H∞ filter such that the filtering error system is asymptotically stable and has a prescribed H∞H∞ performance with respect to the uncertainty effects. Three different approaches are developed to design the H∞H∞ filter, and the design conditions are presented in terms of solutions to linear matrix inequalities (LMIs). Finally, an illustrative example is provided to show the effectiveness of the proposed approaches.