Robust L1 Filtering with Pole Constraint in a Disk via Parameter-dependent Lyapunov Functions

A strategy for robust L₁ filtering with pole constraint in a disk for continuous-time polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the resulting filtering error system remains robust stable, and has a L₁ performance constraint and pole constraint in a disk. By introducing some slack matrix variables, less-conservative linear matrix inequality (LMI) based conditions for new robust L₁ performance criteria and regional pole placement are obtained as compared to existing characterizations. A L₁ robust filter is obtained when applying the improved matrix inequality conditions by LMI technique