一种采用方块脉冲函数求解延时最优控制问题的算法
An Algorithm for Solving Time-Delayed Optimal Control Problems Via Block-Pulse Functions
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摘要: 本文采用方块脉冲函数方法,将线性延时系统二次型最优控制问题转化为函数极值问题, 得到了最优控制规律的分段恒定解答,导出了一种不同迭代求解的简便算法.所提算法对小 延时和大延时系统均有效.Abstract: In this paper, the linear time-delayed optimal control problem based on quadratic performance is transformed into a simple extremal problem of functions via block-pulse functions. On this basis, the piecewise constant solution of optimal control is obtained and a simple algorithm without iterating is proposed. The algorithm is effective and usable to both small delay systems and large delay systems.
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