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http://dx.doi.org/10.5391/JKIIS.2012.22.5.549

Optimal Fuzzy Filter for Nonlinear Systems with Variance Constraints  

Noh, Sun-Young (연세대학교 전기전자공학과)
Park, Jin-Bae (연세대학교 전기전자공학과)
Joo, Young-Hoon (군산대학교 제어로봇공학과)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.22, no.5, 2012 , pp. 549-554 More about this Journal
Abstract
In this paper, we consider the optimal fuzzy filter of nonlinear discrete-time with estimation error variance constraint. First, the Takagi and Sugeno(T-S) fuzzy model is employed to approximate the nonlinear system. Next, the error state is mean square bounded, and the steady state variance of the estimation error of each state is not more than the individual predefined value. It is shown that, the addressed problem can be carried out by solving linear matrix inequality(LMI) and some algebraic quadratic matrix inequalities. Finally, some examples are provided to illustrate the design procedure and expected performance through simulations.
Keywords
Optimal fuzzy filter; Variance constraints; linear matrix inequality (LMI); T-S fuzzy model; algebraic quadratic matrix inequalities;
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