This paper is concerned with the output feedback stabilization of two-dimensional discrete fuzzy systems described by the Fornasini–Marchesini second model. Based on the fuzzy-basis-dependent Lyapunov function, a new criterion is proposed for the fuzzy static output feedback (SOF) controller, which is expressed as strict linear matrix inequalities and hence numerically tractable. The main advantage of the developed SOF control scheme is that no constraints are imposed on system matrices, which is expected to have a wider range of applications. The applicability and the advantage of the proposed results are shown through two numerical examples.

中文翻译：

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二维模糊系统的输出反馈稳定

本文关注的是 Fornasini-Marchesini 第二模型描述的二维离散模糊系统的输出反馈稳定性。基于依赖于模糊基的李雅普诺夫函数，提出了模糊静态输出反馈 (SOF) 控制器的新准则，该准则表示为严格的线性矩阵不等式，因此在数值上易于处理。所开发的 SOF 控制方案的主要优点是对系统矩阵没有任何约束，有望得到更广泛的应用。通过两个数值例子展示了所提出结果的适用性和优势。