鲁棒稳定界的连续性分析及优化方法

Continuity Analysis of the Robust Stability Radius and an Optimization Method

中文关键词  鲁棒稳定界  连续性  可微性  梯度方法

英文关键词  robust stability radius  continuity  differentiability  the gradient method

中文摘要

      针对一类常见的不确定系统，本文得出了鲁棒稳定界p(F) 连续、可微的条件。给出了p(F)对状态反馈F的微分表达式，以及在极点配置的约束下使p(F)增大的梯度方法。实例显示，梯度方法非常有效。

英文摘要

      For a class of uncertain systems, conditions for the continuity and the differentiability of the robust stability radius are derived. Denote the stability radius as p(F), then d p(F) / dF is obtained and a gradient method to increase p(F) is derived. A method to increase p(F) under the constraint of pole assignment is also presented. Examples show that the gradient method is very effective. Through these examples, the discontinuity property of p(F) is demonstrated clearly.