具有指定闭环极点的次最优控制系统设计

Design of the Sub-optimal Control Systems with the Specified Closed-loop Poles

中文关键词  LQ最优控制  多变量系统  极点配置  优化算法

英文关键词  LQ optimal control  multivariable system  pole assignment  optimizing algorithm

中文摘要

      本文利用多变量系统极点配置的结果，提出了一种具有指定闭环极点，并使二次型指标达到极小的次最优控制系统的设计方法。这种设计方法与标准线性二次型调节器LQR设计方法的不同之点，就在于设计中引入了闭环极点约束，使闭环系统能具有希望的动态特性。本文还给出了在计算机上易于实现的设计算法和计算过程，以及设计实例。

英文摘要

      Using the results of the multivariable system pole assignment, we propose a method for designing sub-optimal control systems with the specified closed-loop poles by minimizing the linear quadratic performance index in this paper. The difference between this method and the standard linear quadratic regulator design method is that the closed-loop pole assignment is considered in this design method so that the closed-loop system will have the desirable dynamical properties along with the minimal performance index. The algorithm and the computation steps implemented on computer easily are presented in this paper. The validity of the design algorithm is verified by an example.