多变量系统的最优极点配置设计方法

Optimal Pole Assignment Method of Multivariable Control Systems Design

  • 摘要: 在最优控制系统的工程设计中,选择目标函数是设计人员极为关心但却一直未能得到完善解决的难题.近些年来人们提出了一种根据希望的闭环极点来确定目标函数的设计思想及一些有关算法.本文介绍了这种设计思想及Seheim提出的一种在计算上易于实现的算法,导出的计算公式提高了闭环特征值接近其希望值的程度,并进一步简化了该算法.最后用这种最优极点配置和单纯的极点配置方法设计了一个直升飞机的纵向自稳定系统,籍此作一比较.

     

    Abstract: When design an optimal control system,choosing a performance index is a important but not completely solved yet problem to the designers.Recently,a kind ofdesign idea to determine the performance index according to the expected closed-loop eigenvalues was proposed,and some corresponding algorithms were developed.In thispaper,this design idea and Seheim's algorithm which is easy to be implemonted on acomputer are introduced,and some further improvements on the algorithm are pressented.By the improved algorithm the closed-loop eigenvalues can be put closer to theexpected values than those from Seheim's,and it is simpler as well.As an application example,the optimal pole assignment method and the normal one are used todesign a longitudinal stabilization system of a helicopter respectively,and the two design methods are compared by digital simulation.

     

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