Robust H∞ Filtering of Linear System with Norm-Bounded Uncertainty

In this paper, the robust H
_infin
filter for the linear system with norm-bounded uncertainty is investigated. The uncertainty on the system matrices is represented in linear fractional representation (LFR) form which can approximate an uncertain input-output relation by a set of quadratic constrains; the constrained optimization problem is converted into an unconstrained dynamic game type problem by the so-called S-procedure theorem; the LMIs are used to analysis and synthesis the filter