Strictly passive FIR filtering for state-space models with external disturbance

Abstract

This paper proposes a new strictly passive filter with a finite impulse response (FIR) structure for linear state-space signal models with external disturbance. This filter is called a strictly passive FIR filter (SPFF). We apply the strict passivity concept to derive a new linear filter with FIR structure and quasi-deadbeat property. The gain matrix of the proposed SPFF in this paper can be determined by resorting to the solution to a linear matrix inequality (LMI) feasibility problem. An illustrative example is presented to show the validity of the SPFF.