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Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

Do Wan Kim, Jin Bae Park*, Young Hoon Joo, and Sung Ho Kim
International Journal of Control, Automation, and Systems, vol. 4, no. 4, pp.506-515, 2006

Abstract : This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Keyword : Linear matrix inequality, multirate digital control, stability analysis, Takagi-Sugeno fuzzy system.

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