A closed form solution to L2-sensitivity minimization of second-order state-space digital filters
A closed form solution to L2-sensitivity minimization of second-order state-space digital filters
复制标题
二阶状态空间数字滤波器 L2 灵敏度最小化的封闭式解
DOI：
10.1109/iscas.2006.1693810
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
M. Kawamata
中科院分区：
文献类型：
--
作者：
Shunsuke Yamaki;M. Abe;M. Kawamata
本文提出了一种二阶状态空间数字滤波器 L/sub 2/-灵敏度最小化的封闭式解决方案。将我们限制在状态空间数字滤波器的二阶情况，我们可以通过双曲函数制定 L/sub 2/-灵敏度最小化问题。因此，L/sub 2/-灵敏度最小化问题可以转化为求解常系数4次多项式方程的问题，该问题可以以封闭形式代数求解，无需迭代计算。
This paper proposes a closed form solution to L/sub 2/-sensitivity minimization of second-order state-space digital filters. Restricting ourselves to the 2nd order case of state-space digital filters, we can formulate L/sub 2/-sensitivity minimization problem by hyperbolic functions. As a result, L/sub 2/-sensitivity minimization problem can be converted into a problem to find the solution to a 4th degree polynomial equation of constant coefficients, which can be algebraically solved in closed form without iterative calculations.