Robust quantized H∞ filtering for discrete-time uncertain systems with packet dropouts

This paper considers the problem of H-infinity filtering for uncertain discrete-time systems with quantized measurements and packet dropouts. The time-invariant uncertain parameters are supposed to reside in a polytope. The system measurement outputs are quantized by a memoryless logarithmic quantizer before being transmitted to the filter and the performance of packet dropouts is described by Bernoulli random binary distribution. Attention is focused on the design of H-infinity filter to mitigate the effects of quantization and packet dropouts, which ensured not only stochastically stability but also a prescribed H-infinity noise attenuation level. Via parameter-dependent Lyapunov function approach and introducing some slack variables, sufficient conditions for the existence of an H-infinity filter are expressed in terms of linear matrix inequalities (LMIs). Two examples are provided to demonstrate the effectiveness and applicability of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.