Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 20, Issue 6, Pages 1114-1129Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2012.2196522
Keywords
Full- and reduced-order; H-infinity filter design; input-output approach; Takagi-Sugeno (T-S) fuzzy systems; time-delay
Funding
- National Key Basic Research Program [2012CB215202]
- 111 Project [B12018]
- National Natural Science Foundation of China [61174126, 61174058]
- Foundation for Innovative Research Groups of the National Natural Science Foundation of China [61021002]
- Natural Science Foundation of Heilongjiang Province of China [QC2009C58, F201002]
- Program for New Century Excellent Talents in University [NCET-09-0063]
- Fundamental Research Funds for the Central Universities [HIT.BRET2.2010011]
- EPSRC [EP/F029195/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/F029195/1] Funding Source: researchfish
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In this paper, the problem of l(2)-l(infinity) filtering for a class of discrete-timeTakagi-Sugeno (T-S) fuzzy time-varying delay systems is studied. Our attention is focused on the design of full-and reduced-order filters that guarantee the filtering error system to be asymptotically stable with a prescribed H-infinity performance. Sufficient conditions for the obtained filtering error system are proposed by applying an input-output approach and a two-term approximation method, which is employed to approximate the time-varying delay. The corresponding full-and reduced-order filter design is cast into a convex optimization problem, which can be efficiently solved by standard numerical algorithms. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
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