Robust L₂-l_∞Filtering For Delta Operator Systems

This paper is concerned with the problem of robust ι2-ι∞filtering for Delta operator systems with parameter uncertainties. In this paper, we mainly study problems as follow:Considering with the problem of robust guaranteed ι2-ι∞filtering for Delta operator systems with parameter uncertainties.(i) Norm-bounded parameter uncertainties is considered;(ii) Convex polyhedron uncertainties is studied.In this part,(i)、(ii) are considered. The objective are all to design a guaranteed filter which guarantees that the filter error dynamic system is robust asymptotically stable and the upper bound of the ι2-ι∞performance index is as small as pos-sible. Based on linear matrix inequality approach and the Lyapunov approach, a design method of such filter is proposed. By the aid of the mincx of MATLAB con-trol tools, an optimal feasible solution is obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method.Considering the problem of robustι2-ι∞filtering for a class of uncertain systems with regional pole constraints.(i)System of Delta operator is studied;(ii)System of Delta operator formulated time-delay is studied.In this part, two kinds of systems are considered. The objective are all to design a filter which guarantees that the filter error dynamic system is robust asymptot-ically stable and the upper bound of the ι2-ι∞performance index is as small as possible. Base on linear matrix inequality approach and the Lyapunov approach, a design method of such filter is proposed. By the aid of the mincx of MATLAB con-trol tools, an optimal feasible solution is obtained. A numerical example is provided to demonstrate the effectiveness of the proposed method.