Robust H-infinity filtering for time-delay systems with missing measurements: a parameter-dependent approach

Key words:  Robust H-infinity filtering  Polytopic uncertainties  Missing measurements  Time-delays  Parameter dependent  Linear matrix inequalities (LMIs)

摘要:

Abstract:

Robust H-infinity filtering for a class of uncertain discrete-time linear systems with time delays and missing measurements is studied in this paper. The uncertain parameters are supposed to reside in a convex polytope and the missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Our attention is focused on the analysis and design of robust H-infinity filters such that, for all admissible parameter uncertainties and all possible missing measurements, the filtering error system is exponentially mean-square stable with a prescribed H-infinity disturbance attenuation level. A parameter-dependent approach is proposed to derive a less conservative result. Sufficient conditions are established for the existence of the desired filter in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of the desired filter is also provided. Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed method. Robust H-infinity filtering; Polytopic uncertainties; Missing measurements; Time-delays; Parameter dependent; Linear matrix inequalities (LMIs)