Robust H∞ filtering for uncertain discrete-time systems subject to quantization

The problem of robust H
_∞
filtering for uncertain discrete-time systems with measurement quantization is investigated in this paper. The time-invariant uncertain parameters are supposed to reside in a polytope. By using Fisher lemma and parameter-dependent Lyapunov function approach, new conditions for the design of a robust H
_∞
filter are expressed in the form of linear matrix inequalities (LMIs) such that the filtering error system is asymptotically stable with a prescribed H
_∞
performance. A numerical example is given to demonstrate the effectiveness of the proposed method.