期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 56, 期 12, 页码 2932-2939出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2011.2159909
关键词
Discrete-time system; finite frequency (FF); H-infinity filtering; state delay
资金
- State Key Laboratory of Urban Water Resource and Environment, Harbin Institute of Technology [QAK201008]
- National Natural Science Foundation of China [60825303, 60834003, 61028008]
- 973 Project [2009CB320600]
- Key Laboratory of Integrated Automation for the Process Industry, Northeastern University
This article researches the problem of finite frequency (FF) H-infinity filtering for linear discrete-time state-delayed systems. The disturbance is assumed to reside in low/middle/high frequency ranges. To reduce the conservatism of the results, delay-partitioning idea is used to derive a new FF bounded real lemma (BRL). By applying the generalized Kalman-Yakubovich-Popov lemma, two equivalent approaches to the proof of the proposed FF BRL are given, respectively, starting from transfer function and Lyapunov-Krasovskii functional. A new FF H-infinity filter design method is proposed in terms of solving a set of linear matrix inequalities. Finally, a numerical example clearly demonstrates the merits and effectiveness of the proposed method.
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