Robust H ∞ Filtering with Pole Constraint for Neutral Delay Differential Uncertain System

This paper considers a robust H∞ filtering problem for a class of neutral delay differential uncertain systems with polytopic type uncertainty. The main purpose is to obtain a stable linear filter such that the filtering error system is robustly stable and guarantees a pre-specific H∞ attenuation level or an (almost) optimal H∞ attenuation level γ. Sufficient conditions are stated in terms of LMIs. Moreover, the filtering error system dynamics can be constrained to some specific LMI regions. The proposed filter design algorithm is demonstrated through a numerical example.