分布参数系统最优控制的块脉冲序列方法

A Solution for Optimal Control of Distributed parameter Systems via Block pulse Sequences

分布参数系统最优控制问题的求解较集中参数系统同类问题的求解更为复杂。该文着重研究求解一类分布参数系统的最优控制问题的实用方法。利用块脉冲函数序列的正交特性 ,把分布参数系统最优控制的积分型性能指标转化成相应的代数式 ,使系统最优控制问题转化为一般代数极值问题。该文给出了二维块脉冲函数序列求解算法。这种方法简化了分布参数系统的最优控制问题的求解 ,且其算法简单 。

Emphasizing practical solution methods for distributed parameter systems and taking the advantage of the orthogonal property of the block pulse sequences, this paper transforms an optimal control problem of a type of distributed parameter system (DPS) into a similar algebraic problem by changing approximately the integral performance index of the optimal control of the systems into a corresponding algebraic form. A computation method based on 2 D block pulse function sequences is presented in this paper. The proposed method simplifies the procedure of solving optimal control problems of DPS and the algorithm is convenient to perform.