H∞ Static Output Feedback Control of 2‐D Discrete Systems in FM Second Model |
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| Authors: | Zhi‐Yong Feng Li Xu Min Wu Jin‐Hua She |
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| Affiliation: | 1. Department of Electronics and Information Systems, Akita Prefectural University, , Yuri‐Honjo, Akita, 015‐0055 Japan;2. School of Information Science and Engineering, Central South University, , Changsha, 410083 China;3. School of Computer Science, Tokyo University of Technology, , Hachioj, Tokyo, 192‐0982 Japan |
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| Abstract: | The problem of H∞ static output feedback (SOF) control of two‐dimensional (2‐D) discrete systems described by the Fornasini‐Marchesini (FM) second model is investigated in this paper. First, by applying the 2‐D Bounded Real Lemma, the 2‐D H∞ SOF control problem is formulated in terms of a bilinear matrix inequality (BMI). Then, by combining the slack variable technique with two kinds of existing LMI methods, respectively, less conservative sufficient LMI conditions are proposed for the BMI formulation. The relation of these two kinds of LMI conditions are revealed by analyzing the choices of coordinate transformation matrices involved in the first kind of LMI conditions. Finally, a numerical example is provided to demonstrate the effectiveness and merits of the proposed methods. |
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| Keywords: | 2‐D discrete systems Fornasini‐Marchesini (FM) second model H∞ control static output feedback (SOF) linear matrix inequality (LMI) |
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