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摘要: 本文研究了基于第二 FM 模型的两维离散状态滞后系统 H∞ 控制问题. 给出了这类两维系统具有一定 H∞ 扰动抑制度的一个线性矩阵不等式条件, 并通过求解一个凸优化问题得到一个最优 H∞ 控制器. 最后通过一个仿真例子验证所提结果的有效性.Abstract: This paper is concerned with the problem of H∞ control for two-dimensional (2-D) discrete state delay systems described by the second Fornasini and Marchesini (FM) state-space model. A sufficient condition to have an H∞ noise attenuation for this 2-D system is given in terms of a certain linear matrix inequality (LMI). The optimal H∞ controller is obtained by solving a convex optimization problem. Finally, a simulation example is given to illustrate the effectiveness of the proposed result.
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Key words:
- 2-D discrete systems /
- state delay /
- H∞ control /
- LMI
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