方块脉冲函数用于线性时变系统的分析和最优控制
Analysis and Optimal Control of Time-Varying Linear Systems Using Block-Pulse Functions
-
摘要: 本文给出了方块脉冲函数的一些运算性质.利用这些性质求解线性时变系统的状态方程 和基于二次型性能指标的最优控制规律,得出了便于应用的均匀分段恒定解答.较沃尔什函 数逼近法容易导出形式简明的递推算法,且子区间的分段数可选取任意整数,因而节省计算机 内存和机时,有助于提高计算和控制的精度.Abstract: Some useful operational properties of the block-pulse functions are developed. By applying these properties to the analysis and optimal control of time-varying linear systems with a quadratic performance index, the piecewise constant solutions equally distributed, which are simple in form and convenient for use or implementation, are obtained. Another advantage of this method is that any positive integer can be chosen as the number of sub-intervals, whereas in the case of Walsh function approximation the choice can only be made from 2, 4, 8, 16, 32, and so on. Therefore, in many practical situations computation and control of higher precision can be achieved without expending excessive memory capacity and calculating time. The recursive algorithms of the solutions are illustrated by appropriate examples.
点击查看大图
计量
- 文章访问数: 1378
- HTML全文浏览量: 49
- PDF下载量: 937
- 被引次数: 0