Stochastic independent modal-space control of distributed-parameter systems
Stochastic independent modal-space control of distributed-parameter systems
复制标题
分布式参数系统的随机独立模态空间控制
DOI：
10.1007/bf00934635
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
H. M. Chun
中科院分区：
文献类型：
--
作者：
J. Turner;H. M. Chun
本文提出了一种在理论上能够估计和控制分布参数系统所有模态的方法。定义了一种使用分布卡尔曼函数的线性分布估计器。它示出，一个特定的选择的卡尔曼函数，结合独立的模态空间控制方法，导致一个无限的独立的二阶模态空间卡尔曼滤波器级联的空间模态滤波器。独立模态空间卡尔曼滤波器的经验没有计算上的困难，无论系统的顺序，和封闭形式的解决方案的模态卡尔曼增益矩阵可以得到相对容易，使实时实施可行。它还表明，独立的模态空间卡尔曼滤波器理论上是免费的观察溢出。
A method capable in theory of estimating and controlling all the modes of a distributed-parameter system is presented. A linear distributed estimator using a distributed Kalman function is defined. It is shown that a particular choice of the Kalman function, in conjunction with the independent modal-space control method, leads to an infinite set of independent second-order modal-space Kalman filters cascaded with spatial modal filters. Independent modal-space Kalman filters experience no computational difficulties, regardless of the order of the system, and closed-form solutions for the modal Kalman gain matrices can be obtained with relative ease, making real-time implementation feasible. It is also shown that the independent modal-space Kalman filters are theoretically free of observation spillover.