On the Structure of H2-Optimal Sampled-Data Controllers
On the Structure of H2-Optimal Sampled-Data Controllers
复制标题
H2最优采样数据控制器的结构
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
M. Araki
中科院分区：
文献类型：
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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H2问题。众所周知，该问题归结为一个等价的离散时间H2问题，它总是奇异的。在本文中，我们表明，如果原问题的广义植物满足标准的假设，通常在连续时间H2和H，问题，那么减少的问题实际上可以解决没有任何本质上的困难。也就是说，奇异性可以通过求解降阶Riccati方程来规避，并且与最优控制器相关联的卡尔曼滤波器减少到最小阶观测器。
This paper is concerned with the H2 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 H2 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 H2 and H, 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.