Unbiased H∞ filtering for a class of multiple time-varying delays system

The unbiased H_∞ filtering for a class of multiple time-varying delays system is considered in this paper. Based on integral equality approach, the sufficient conditions for the stable linear filter are derived in terms of LMI. Some advantages are showed in this paper: (1) Compare with standard H_∞ filtering approaches, the unbiased H_∞ filtering approach reduces the computational complexity in the designing filter process, and the filtering error system is internal stable, independent of the stability of the original system (2) The integral equality approach reduces the conservatism of the system. Finally, a numerical example proves that the method is valid.