Delay Dependent Robust H_∞ Filter design for Discrete Time-delay Systems with Missing Measurements via Homogeneous Polynomial Matrices

Abstract

This paper presents new delay-dependent robust linear matrix inequality (LMI) conditions for a robust H∞ filter for discrete time systems affected by time-varying state delays and missing measurements. Our attention is focused on the analysis and design of robust H∞ filters. LMI relaxations based on homogeneous polynomial matrices of an arbitrary degree are used to determine the state-space realization of the filter. The missing measurements are described by a binary switching sequence satisfying a Bernoulli distribution. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed method.