| 引用本文: | 胡庭姝 施颂椒.鲁棒稳定界的连续性分析及优化方法[J].控制理论与应用,1995,12(1):18~25.[点击复制] |
| HU Tingshu and SHI Songjiao.Continuity Analysis of the Robust Stability Radius and an Optimization Method[J].Control Theory and Technology,1995,12(1):18~25.[点击复制] |
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| 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 |
| 摘要点击 725 全文点击 382 投稿时间：1993-10-09 修订日期：1994-06-30 |
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| DOI编号 |
| 1995,12(1):18-25 |
| 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 |
| 基金项目 |
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| 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. |