Solutions to the positive real control problem for linear systems via reduced-order observer
Solutions to the positive real control problem for linear systems via reduced-order observer
复制标题
通过降阶观测器求解线性系统正实数控制问题
DOI：
10.1109/wcica.2008.4593670
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
G. Duan
中科院分区：
文献类型：
--
作者：
Bin Zhou;G. Duan
研究了降维观测器实现传递函数严格正真实的的问题。结果表明，该问题总是有一个解，该解是由一个稳定的反馈增益K和一个正定矩阵PK满足一定的李雅普诺夫矩阵方程参数。此外，还得到了正的真实的传递函数，并且当K和PK选取适当时，它的Hinfin范数可以任意小.最后用实例说明了结果。
The problem of rendering a transfer function strictly positive real using reduced-order observer is studied in this paper. It is shown that the problem always has a solution that is parameterized by a stabilizing feedback gain K and a positive definite matrix PK satisfying certain Lyapunov matrix equation. In addition, the resultant positive real transfer function is explicitly obtained and has the property that its Hinfin norm can be made arbitrary small if K and PK are properly chosen. The results are illustrated with some examples.