Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 50, Issue 3, Pages 599-613Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2018.1564086
Keywords
2-D discrete-time systems; T-S fuzzy systems; finite frequency; gain; filter design
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Funding
- National Natural Science Foundation of China [61703137, 61573001]
- Fundamental Research Funds for the Central Universities [2019B14814]
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This paper deals with the filter design problem of two-dimensional (2-D) discrete-time nonlinear systems described by Fornasini-Marchesini local state-space (FM LSS) model under Takagi-Sugeno (T-S) fuzzy rules. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) range. A novel so-called FF gain is defined for 2-D discrete-time systems, which extends the standard gain. The aim of this paper is to design filters such that the filtering error system is asymptotically stable and has the disturbance attenuation performance in sense of FF gain. Sufficient conditions for the existence of a desired fuzzy filter are established in terms of linear matrix inequalities (LMIs). Simulation examples demonstrate the technique and its advantage.
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