On the structure of H/sub 2/-optimal sampled-data controllers
On the structure of H/sub 2/-optimal sampled-data controllers
复制标题
H/sub 2/-最优采样数据控制器的结构
DOI：
10.1109/cdc.1996.574566
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
M. Araki
中科院分区：
文献类型：
--
作者：
T. Hagiwara;Y. Monobe;M. Araki
本文研究了考虑样本间行为的采样数据系统的H/sub /问题。众所周知，该问题可归结为一个等效的离散时间H/sub /问题，该问题总是奇异的。在本文中，我们证明了如果原问题的广义解满足连续时间H/sub / 2/和H/sub /spl / inf //问题中常用的标准假设，那么简化后的问题实际上是可以求解的，没有任何本质上的困难。即，通过求解降阶Riccati方程可以绕过奇点，并且与最优控制器相关联的卡尔曼滤波器简化为最小阶观测器。
This paper is concerned with the H/sub 2/ problem of sampled-data systems with their intersample behavior taken into account. It is well known that the problem reduces to an equivalent discrete-time H/sub 2/ problem, which is always singular. In this paper, we show that if the generalized plant of the original problem satisfies the standard assumptions usually made in the continuous-time H/sub 2/ and H/sub /spl infin// problems, then the reduced problem can actually be solved without any essential difficulties. Namely, the singularity can be circumvented by solving a reduced-order Riccati equation, and the Kalman filter associated with the optimal controller reduces to a minimal-order observer.