Robust Multi-Objective Filtering for a Class of Neutral System with Bounded Noise and Parametric Uncertainty

This paper considers a robust H_infin filtering problem for a class of neutral delay differential uncertain systems with polytope type uncertainty. The main purpose is to obtain a stable linear filter such that the filtering error system remains robustly stable within a pre-specific H_infin attenuation level or minimum H _infin attenuation level gamma. Sufficient conditions are stated in terms of LMIs. Based on the LMI toolbox, the solutions of the inequalities are obtained. Moreover, as an improvement, the filtering error system dynamics can be constrained to some specific LMI regions. The validity of proposed filter design algorithm has been checked through a numerical example