On the estimation of parameters of Takagi-Sugeno fuzzy filte

Authors:
Mohit Kumar;Norbert Stoll;Regina Stoll
Affiliations:
Center for Life Science Automation, Rostock, Germany;Institute of Automation, College of Computer Science and Electrical Engineering, University of Rostock and Center for Life Science Automation, Rostock, Germany;Institute of Preventive Medicine, Faculty of Medicine, University of Rostock, Rostock, Germany
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2009

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Abstract

This study derives a class of filtering algorithms for Takagi-Sugeno fuzzy models via solving a nonlinear parameters estimation problem. The considered estimation problem is related to the problem of minimizing the expected value of the exponential of filtering errors energy. Under some stochastic assumptions, the filtering criteria (which involve an expectation operator) are replaced by the deterministic quadratic optimization problems whose solutions provide a class of fuzzy filtering algorithms. Froma viewpoint of errors in the estimation of linear parameters of the fuzzy filter, the derived filtering algorithms were analyzed with emphasis on stability, robustness, and steady-state error issues. The stability and robustness analyses have been made deterministically without making any assumption.