H//sub∞/ fuzzy filter design for uncertain nonlinear systems with Markovian jumps: an LMI approach

Sing Kiong Nguang, Wudhichai Assawinchaichote, Peng Jia Shi, Yan Shi · 2005

The paper addresses the problem of designing a robust filter for a class of uncertain Markovian jump nonlinear systems described by a class of uncertain Takagi-Sugeno fuzzy models with Markovian jumps. Based on an LMI approach, LMI-based sufficient conditions that guarantee the L/sub 2/-from an exogenous input to an estimation error is less than a prescribed value are derived. A tunnel diode circuit is used to illustrate the effectiveness of the proposed design techniques.

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