A Revisit to Strictly Passive FIR Filtering

This brief revisits the strictly passive finite impulse response (FIR) filtering problem in discrete-time state space. An initial result on the strictly passive FIR filter was presented by Ahn in 2012, but was restricted to state-space models with a nonsingular system matrix, which limits the scope of application. In this brief, we propose a new design condition for the strictly passive FIR filter that does not impose any restriction on the system matrix in the linear matrix inequality form. Based on this condition, new results on its connection with finite-time ${H_\infty }$ FIR filtering are presented. An application example for an afterburning engine model with a singular system matrix verifies the proposed filter’s higher robustness than the existing strictly passive infinite impulse response filter against quantization and uncertainty.

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