Robust H_infinity filtering for linear continuous-time uncertain systems with multiple delays: an LMI approach

摘要

The problem of robust H_infinity filter design for uncertain continuous-time linear systems with mutlipel time-delayed states is addressed in this paper. The uncertainties are assumed to belong to convex bounded domains (polytope type uncertainty) and the time delays are supposed to be constant. Delay-independent as well as delay-dependent stability conditions assuring robust stability and a prescribed H_infinity disturbance attenuation for the filtering error system are established, in both cases, in terms of linear matrix inequalities, which can be efficiently solved by standard optimization procedures with global convergence assured. Two illustrative examples are analyzed. Copyright ~direct C 2000 IFAC