Robust filtering for 2-D state-delayed systems with NFT uncertainties

This paper is concerned with the robust filtering problem for two-dimensional (2-D) state-delayed systems with uncertainties represented by nonlinear fraction transformation. The authors first establish the stability H_∞ performance and generalized H₂ performance criteria for the system. Based on the results, the authors propose efficient methods to solve the robust H_∞ filtering, generalized H₂ filtering, and mixed generalized H₂/H_∞ filtering problems by using a parameter-dependent Lyapunov function approach. The methods involve solving linear matrix inequalities. Two examples are given to show the effectiveness of the proposed approach.