Deadbeat Dissipative FIR Filtering

Choon Ki Ahn, Peng Shi, Michael V. Basin

Research output: Contribution to journalArticlepeer-review

133 Citations (Scopus)


In this paper, we propose a new deadbeat dissipative filter with a finite impulse response (FIR) structure for linear discrete-time systems with external disturbance; this filter is called a deadbeat dissipative FIR filter (DDFF). The new filter ensures (Q,S,R) α-dissipativity and the deadbeat property based on three slack matrix variables. By tuning the weighting parameters provided by the (Q,S,R)α-dissipativity in the proposed DDFF, we present H∞ and passive FIR filters in a unified framework and investigate ways of improving the l2stability, bounded-disturbance bounded-error stability, and robustness of FIR filters. The gain matrix of the proposed DDFF is obtained by solving a convex problem using the linear matrix inequality approach. Two numerical examples are provided to demonstrate the effectiveness and advantages of the obtained theoretical results.

Original languageEnglish
Article number7536681
Pages (from-to)1210-1221
Number of pages12
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number8
Publication statusPublished - 2016 Aug 1


  • Deadbeat property
  • dissipative filtering
  • finite impulse response structure
  • robustness

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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