指定闭环极点区域的鲁棒控制器设计

Design of Robust Controller with the Specified Pole Region

本文研究具有指定闭环极点区域的鲁棒控制系统设计,提出了一种在保证闭环系统极点配置到S左半平面某圆形区域的前提下,使闭环系统达到鲁棒最优的控制系统设计方法。文中推导了鲁棒优化指标梯度矩阵的计算公式,给出了基于共轭梯度寻优方法的易于在计算机上实现的设计算法,并通过实例计算验证了设计方法的有效性。

In this paper, we study the design of robust control system with the specified closed-loop pole region, and propose a method for designing the robust optimal control system whose poles are placed within a circle in the left half plane. The formula for computing the gradient matrix of robust design index has been derived, and the design algorithm, which is easily implemented on computer, is also presented. By the simulation of example, the validity of the proposed design method is verified.