Optimization of coordinate transformation matrix for $$H_{\infty }$$H∞ static-output-feedback control of 2-D discrete systems in FM second model
Optimization of coordinate transformation matrix for $$H_{\infty }$$H∞ static-output-feedback control of 2-D discrete systems in FM second model
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DOI：
10.1002/asjc.472
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发表时间：
2012-11
影响因子：
2.5
通讯作者：
Zhiquan Feng;Li Xu
中科院分区：
文献类型：
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作者：
Zhiquan Feng;Li Xu
为 FM 第二模型中二维离散系统的 $$H_{\infty }$$H∞ 静态输出反馈控制选择坐标变换矩阵 (CTM) 的问题是一个未解决的开放问题。这篇简报旨在解决这个问题。首先，使用锥互补线性化方法来选择初始CTM。然后，采用迭代策略来优化 CTM 的选择。给出数值例子来说明该方法的有效性。
The problem of selecting a coordinate transformation matrix (CTM) for the $$H_{\infty }$$H∞ static-output-feedback control of two-dimensional discrete systems in the FM second model is an unsolved open problem. This brief aims to solve the problem. First, a cone complementarity linearization method is used to choose an initial CTM. Then, an iterative strategy is employed to optimize the choice of the CTM. A Numerical example is given to illustrate the effectiveness of the method.