Local stability analysis of a saturating feedback system based on LPV descriptor representation
Local stability analysis of a saturating feedback system based on LPV descriptor representation
复制标题
基于LPV描述符表示的饱和反馈系统局部稳定性分析
DOI：
10.1080/0020717031000079355
复制
发表时间：
2003
影响因子：
2.1
通讯作者：
K. Takaba
中科院分区：
文献类型：
--
作者：
K. Takaba
本文考虑了具有多重饱和非线性的反馈系统的局部稳定性和二次性能。通过结合线性参数变化技术和描述符系统表示，我们开发了一种新的局部稳定条件，该条件不仅在数值上易于处理，而且比圆准则保守性更低。还导出了基于该局部稳定性条件的二次性能的充分条件。包括数值示例以显示当前稳定性条件的有效性。
This paper considers the local stability and the quadratic performance of a feedback system with multiple saturation non-linearities. By combining the linear parameter-varying technique and the descriptor system representation, we develop a new local stability condition that is not only numerically tractable but also less conservative than the circle criterion. A sufficient condition for the quadratic performance based on this local stability condition is also derived. Numerical examples are included to show the effectiveness of the present stability condition.