Delay-dependent robust H∞ and ℒ2-ℒ∞ filtering for LPV systems with both discrete and distributed delays

The problems of delay-dependent robust H_∞ and L₂-L_∞ filtering for a class of linear parameter varying systems with both discrete and distributed delays is discussed. The distributed delays are assumed to appear in both the state and measurement equations. Attention is focused on the design of delay-dependent robust full-order filters that guarantee the robust asymptotic stability and a prescribed noise attenuation level in an H_∞ or L₂-L_∞ sense for the filtering error dynamics. The desired filters can be obtained from the solution of convex optimisation problems in terms of linear matrix inequalities that can be solved by efficient interior-point algorithms. A numerical example is included to illustrate the effectiveness of the proposed design methods.