输出方差及圆形极点配置区约束下PI调节器设计

Design of PI Regulator with Output Variance and Circular Region Pole Assignment Constraints

系统稳态输出方差和闭环极点位置分别表征了系统重要的稳态性能及动态特性，因此只要通过设计控制器使闭环系统的输出方差在指定值以内，同时把闭环系统极点配置于左半复平面的一定区域就可使闭环系统具有良好的性能。该文通过一辅助Ｑ阵对连续单输入单输出随机系统给出了具有稳态输出方差上限约束和指定圆形极点配置区的ＰＩ调节器设计，导出了ＰＩ调节器的参数表达式及其存在条件。

Steady output variance is an important index of stochastic systems,and thedynamic character is decided mainly by the pole locations of the closed-loop system. So theclosed-loop system may have good performance provided that steady output variancesatisfies prespecified upper bound,and closed-loop poles lie in a given location of left halfplane of complex plane. Design method of PI regulator with upper bound of outputvariance and circular region pole assignment constraints is proposed in this paper by anauxillary Q-matrix. Expression of PI parameters and the existence conditions are alsoderived.