Directional interpolation approach to H ∞ -Optimization and robust stabilization
Directional interpolation approach to H ∞ -Optimization and robust stabilization
复制标题
H ∞ 的定向插值方法 - 优化和鲁棒稳定
DOI：
10.1109/tac.1987.1104504
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
H. Kimura
中科院分区：
文献类型：
--
作者：
H. Kimura
在较弱的条件下，H\infty优化和鲁棒镇定等价于一个方向插值问题，它是经典Pick-Nevanlinna插值问题的矩阵推广.一个经典的迭代方法，这是一个扩展的Schur-Nevanlinna算法，给出了解决问题。该方法不需要对原对象进行内外分解，也不需要原对象的平衡实现。电路理论参数化的所有解决方案，预计将提高物理洞察力的H\infty最优控制和鲁棒稳定。这种参数化的次数远小于先前获得的次数。
It is shown that, under a mild condition, H\infty -optimization and robust stabilization are equivalent to a directional interpolation problem which is a matrix extension of the classical Pick-Nevanlinna interpolation problem. A classical iterative method, which is an extension of the Schur-Nevanlinna algorithm, is given for solving the problem. This method does not require the inner-outer factorization nor the balanced realization of the original plant. A circuit theoretical parameterization of all solutions is derived that is expected to enhance the physical insight to the H\infty -optimal control and robust stabilization. This parameterization has the degree much less than the one obtained previously.