闭环极点在指定区域内的ι1优化反馈控制器*

本文提出了一种闭环极点在指定区域内的l~1优化反馈控制器的设计方法。证明了对闭环极点的位置加以限制后,指标函数的下确界和无限制时的指标函数下确界相同。这就保证了在满足瞬态特性要求后,不会明显降低系统的抗扰性或鲁棒性。给出了任意逼近指标函数下确界的计算步骤和计算实例。

The l_1 Optimized Controller with Closed-Loop Poles in Assigned Region

In this paper, a design method of l1 optimized controller with closed-loop poles in assigned region is presented. It has been proved that the infimum of the index function to the system with restriction on poles is the same as the one with no restriction. This ensures that the system designed by the proposed method has required dynamic property, while the capabilities of rejecting disturbance and robustness are not lost obviously. A computational procedure and example are given, which shows that the infimum of the index can be arbitrarily approached.