This paper is concerned with the problem of H∞ static output feedback (SOF) control of two-dimensional (2-D) discrete systems described by the Roesser model. By applying the 2-D Bounded Real Lemma, a design criterion for the 2-D H∞ SOF controller is derived. Since the existence condition for the SOF controller is not expressed strictly in terms of linear matrix inequalities (LMIs), then an iterative algorithm is proposed to solve this nonconvex problem. Furthermore, the 2-D H∞ dynamic output feedback (DOF) control problem is considered by formulating it as a 2-D H∞ SOF control problem. A numerical example is provided to demonstrate the effectiveness and advantage of the proposed method.
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机译：本文关注的是Roesser模型描述的二维（2-D）离散系统的H ∞静态输出反馈（SOF）控制问题。通过应用二维有界实引理，推导了二维H ∞ SOF控制器的设计准则。由于SOF控制器的存在条件不是严格按照线性矩阵不等式（LMI）来表达的，因此提出了一种迭代算法来解决该非凸问题。此外，通过将其表示为2-D H ∞ SOF控制问题来考虑2-D H ∞动态输出反馈（DOF）控制问题。数值算例表明了该方法的有效性和优越性。
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