Robust L/sub 1/ filtering with pole constraint in a disk via parameter-dependent Lyapunov functions

This paper discusses the problem of robust L/sub 1/ filtering with pole constraint in a disk for linear continuous polytopic uncertain systems. The attention is focused on the design of full-order and reduced-order filters with suitable dynamic behavior via parameter-dependent Lyapunov functions such that the filtering error system remains robustly stable, and has a guaranteed L/sub 1/ performance constraint and pole constraint in a disk. The admissible filter with suitable dynamic behavior can be obtained from the solution of convex optimization problems.