Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 20, Issue 3, Pages 431-443Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2011.2175231
Keywords
Decentralized; delay-dependent filtering; nonlinear interconnected system; Takagi-Sugeno (T-S) fuzzy model; time-varying delays
Funding
- Hong Kong SAR Government [CityU 112809]
- National Natural Science Foundation of China [60904004, 61174137, 60904061]
- NSF of Jiang Su Province [BK2010493]
- Fundamental Research Funds for the Central Universities [ZYGX2009J020]
- Chengdu Administration of Science and Technology [10GGYB184GX-023]
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This paper is concerned with the problem of delay-dependent H-infinity filter design for a class of discrete-time nonlinear interconnected system with time-varying delays via the Takagi-Sugeno (T-S) fuzzy model. The T-S fuzzy model consists of N time-delay T-S fuzzy subsystems, and a decentralized H-infinity filter is designed for each subsystem. Based on the delay-dependent piecewise Lyapunov-Krasovskii functional (DDPLKF) and with an improved free-weighting matrix technique, the delay-dependent stability and a prescribed H-infinity performance index are guaranteed for the overall filtering error system. A sufficient condition for the existence of such a filter is established by using linear matrix inequalities (LMIs) that are numerically feasible. Two numerical examples are given to demonstrate the effectiveness and advantage of the proposed approach.
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