H∞ filtering for sampled-data fuzzy systems

Takagi-Sugeno fuzzy system can describe a wide class of nonlinear systems, and is widely used in many engineering fields. Recently, system analysis and control design for nonlinear systems based fuzzy system approach have been active. This paper is concerned with H infin filtering for sampled-data f...

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Bibliographic Details
Main Author: Yoneyama, J.
Format: Conference Proceeding
Language:English
Subjects:
Control design
Control system analysis
Delay systems
Filtering
Filtering design
Filters
Fuzzy systems
Nonlinear systems
Sampled-data systems
Sufficient conditions
Takagi-Sugeno fuzzy systems
Takagi-Sugeno model
Time varying systems
Time-delay
Uncertain fuzzy systems
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Summary:Takagi-Sugeno fuzzy system can describe a wide class of nonlinear systems, and is widely used in many engineering fields. Recently, system analysis and control design for nonlinear systems based fuzzy system approach have been active. This paper is concerned with H infin filtering for sampled-data fuzzy systems. The system is usually modelled as a continuous-time fuzzy system, while the observation is taken at discrete instants. First it is shown that the error system which comes from an original fuzzy system and a sampled-data filter becomes a system with time-varying delay. Sufficient conditions for the error system to achieve the stability with H infin disturbance attenuation are given in terms of linear matrix inequalities(LMIs). We derive such conditions via output delay system approach under the assumption that sampling-time is not greater than some prescribed number. Based on such conditions, we propose an H infin sampled-data filter design for a fuzzy system. Numerical examples are given to illustrate our H infin sampled-data filtering.
ISSN:1085-1992
2576-3210
DOI:10.1109/CCA.2009.5281044