Abstract
In this paper, the dynamic output feedback H∞ control problem is considered for two-dimensional discrete fuzzy systems described by the second Fornasini–Marchesini state-space model. By introducing novel slacked matrices, sufficient criteria are established to guarantee an H∞ noise attenuation of the resulting closed-loop system. Then the proposed output feedback H∞ controller design method is applied to one-dimensional discrete-time fuzzy systems. It is worth mentioning that there is no rank constraints to system matrices. Moreover, the sufficient criteria are expressed as strict linear matrix inequalities, which can be effectively solved via MATLAB LMI toolbox. Finally, the effectiveness and advantage of the proposed approach are shown through two simulation examples.
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