H∞ filtering for linear discrete-time systems with time-varying parameters via LPV filters

This paper studies the problem of H_infin filtering of discrete -time uncertain systems via linear parameter varying filters. It is assumed that the considered systems affected by arbitrarily time-varying parameters in polytopic domains and those parameters can be measured online. This paper is focused on the design of a parameter-dependent filter which guarantees the filtering error system to be asymptotically stable and has a prescribed H_infin performance. By taking the relationship between the vertices of the polytope into consideration and combining the measured parameters, the obtained LPV filter will provides better results compared with existing methods. The design conditions are given in terms of solvability of a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.