Reliable<i>H</i>_∞state estimation for 2-D discrete systems with infinite distributed delays and incomplete observations

Abstract

In this note, we consider a novel reliable estimation problem for a class of two-dimensional (2-D) discrete linear systems with incomplete observations. The time delays existing in 2-D systems are assumed to be infinitely distributed in the discrete-time domain. Factors leading to incomplete observations include delayed and missing measurements, sensor quantization and saturations. A uniform mathematical model is employed to describe the phenomenon of incomplete observations. Our attention is focused on the design of a linear state estimator for the discussed 2-D systems, such that for all admissible sensor failures, possible infinite distributed time delays and incomplete observations, the error dynamics is mean-square asymptotically stable, and the steady-state error of the estimation is not more than a prescribed level . The flexibility of the proposed approach is confirmed by a numerical simulation.