Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 63, Issue 8, Pages 1210-1221Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2016.2573281
Keywords
Deadbeat property; dissipative filtering; finite impulse response structure; robustness
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Funding
- NRF through the Ministry of Science, ICT, and Future Planning [NRF-2014R1A1A1006101]
- National Nature Science Foundation of China [61573112, U1509217]
- National Research Foundation of Korea [2014R1A1A1006101] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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)-alpha-dissipativity and the deadbeat property based on three slack matrix variables. By tuning the weighting parameters provided by the (Q, S, R)--dissipativity in the proposed DDFF, we present H-infinity and passive FIR filters in a unified framework and investigate ways of improving the l(2) stability, 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.
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