...
  • 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 under a class of nonlinear parametricperturbations
【24h】

Robust stability under a class of nonlinear parametricperturbations

机译：一类非线性参数摄动下的鲁棒稳定性

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

This paper considers the robust stability verification of linear time-invariant systems admitting a class of nonlinear parametric perturbations. The general setting is one of determining the closed-loop stability of systems whose open-loop transfer functions consist of powers, products, and ratios of polytopes of polynomials. Apart from this general setting, two special cases of independent interest are also considered. The first special case concerns uncertainties in the open-loop gain and real poles and zeros, while the second special case treats uncertainties in the open-loop gain and complex poles and zeros. In light of the zero exclusion principle, robust stability is equivalent to zero exclusion of the value sets of the system characteristic function (a value set consists of the values of the characteristic functions at a fixed frequency). The main results of this paper are as follows. 1) The value set of the characteristic function at each fixed frequency is determined by the edges and some frequency-dependent internal line segments. 2) Consequently, Hurwitz invariance verification simplifies to that of checking certain continuous scalar functions for avoidance of the negative real axis. 3) For the case of real zero-pole-gain variations, the critical lines are all frequency independent, and therefore, the determination of the robust stability is even simpler. 4) For the case of complex zero-pole-gain variations, the critical internal lines are shown to be either frequency independent or to be confined in certain (two-dimensional) planes or (three-dimensional) boxes
机译：本文考虑了接纳一类非线性参数摄动的线性时不变系统的鲁棒稳定性验证。一般设置是确定系统的闭环稳定性之一，该系统的开环传递函数由幂，乘积和多项式的多项式的比率组成。除此一般设置外，还考虑了两个具有独立利益的特殊情况。第一种特殊情况涉及开环增益和实数极点和零点的不确定性，而第二种特殊情况涉及开环增益和复数极点和零点的不确定性。根据零排除原理，鲁棒稳定性等于系统特征函数的值集的零排除（值集由固定频率下的特征函数的值组成）。本文的主要结果如下。 1）在每个固定频率处，特征函数的值集由边沿和某些与频率相关的内部线段确定。 2）因此，Hurwitz不变性验证简化为检查某些连续的标量函数以避免负实轴的检验。 3）对于真正的零极点增益变化，临界线都是与频率无关的，因此，鲁棒稳定性的确定甚至更加简单。 4）对于零极点增益变化复杂的情况，关键内部线显示为与频率无关或局限于某些（二维）平面或（三维）盒中

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