Abstract
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 language | English |
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Article number | 7536681 |
Pages (from-to) | 1210-1221 |
Number of pages | 12 |
Journal | IEEE Transactions on Circuits and Systems I: Regular Papers |
Volume | 63 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2016 Aug 1 |
Keywords
- Deadbeat property
- dissipative filtering
- finite impulse response structure
- robustness
ASJC Scopus subject areas
- Electrical and Electronic Engineering