...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Automatic Control >Robust stability of sampled-data systems under possibly unstable additive/multiplicative perturbations
【24h】

Robust stability of sampled-data systems under possibly unstable additive/multiplicative perturbations

机译：在可能不稳定的加/乘扰动下，采样数据系统的鲁棒稳定性

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Applies the FR-operator technique to the robust stability problem of sampled-data systems against additive/multiplicative perturbations, where a reasonable class of perturbations consists of unstable as well as stable ones. Assuming that the number of unstable modes of the plant does not change, we show that a small-gain condition in terms of the FR-operator representation (which is actually equivalent to a small-gain condition in terms of the L/sub 2/-induced norm) is still necessary and sufficient for the sampled-data system to be robustly stable against h-periodic perturbations, in spite of their possible instability. The result is derived by a Nyquist-type of arguments. Next, a necessary and sufficient condition for robust stability against linear time-invariant (LTI) perturbations is also given. Furthermore, we show that if the plant is either single-input or single-output, the condition can be reduced to a readily testable form. Finally, we clarify when the small-gain condition becomes a particularly poor measure for robust stability.
机译：将FR-算子技术应用于样本数据系统针对加性/乘性扰动的鲁棒稳定性问题，其中合理的扰动类别包括不稳定和稳定的扰动。假设植物的不稳定模式的数量没有变化，我们表明以FR算子表示为小增益条件（实际上等于以L / sub 2 /为单位的小增益条件）。 -诱导范数）仍然是必需的，并且足以使采样数据系统即使对h周期扰动也具有鲁棒的稳定性，尽管它们可能不稳定。结果由Nyquist类型的参数得出。接下来，还给出了抵抗线性时不变（LTI）摄动的鲁棒稳定性的必要和充分条件。此外，我们表明，如果工厂是单输入或单输出，则条件可以降低为易于测试的形式。最后，我们澄清了小增益条件何时变得对鲁棒稳定性特别不利的度量。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号