Resilient H∞ filter design for continues-time systems with D stability constraints

Abstract

This paper discusses the resilient H ∞ filtering problem for a class of continuous-time linear systems with D stability constraints. Attention is focused on the design of a filter such that the filtering error system is quadratic D stability and guarantees a prescribed H ∞ performance level, where the filter to be designed is assumed to be with multiplicative gain variations. The design conditions for the resilient H ∞ filter are proposed in terms of linear matrix inequalities (LMIs). By solving these LMIs, an explicit expression of a desired H ∞ filter is given. A simulation example is given to show the efficiency of the proposed design methods.