Reliable H_∞ 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.

Keywords:

• 2-D systems
• Roesser model
• sensor failures
• incomplete observations
• Kronecker delta function
• reliable estimation

Notes

This work was supported in part by the Program for New Century Excellent Talents in University under Grant NCET-11-1051, the National Natural Science Foundation of China under Grants 61074016, 61203143, the Shanghai Pujiang Program under Grant 13PJ1406300, the Shanghai Natural Science Foundation of China under Grant 13ZR1428500, the Innovation Program of Shanghai Municipal Education Commission 14YZ083, the Innovation Fund Project For Graduate Student of Shanghai JWCXSL1401, and the Hujiang Foundation of China (C14002, B1402nD1402).