一类不确定系统的鲁棒绝对稳定性

Robust Absolute Stability for A Class of Uncertain Systems

中文关键词  非线性系统  绝对稳定性  鲁棒稳定性  圆判据  奈奎斯特曲线

英文关键词  nonlinear systems  absolute stability  robust stability  circle criterion  Nyquist locus

中文摘要

      本文考虑一类不确定系统的绝对稳定性问题，系统的线性部分乃顶点模型的凸组合，非线性部分是一个非线性扇区如通常绝对稳定性问题中那样。我们将给出一个类似的圆判据，它说，所有顶点或边系统的某些频域条件可办保证整个不确定系统是绝对稳定的。由于边系统仅含单参数，这样就大大地降低了原问题的计算复杂性。

英文摘要

      This paper considers a absolute stability problem for a class of uncertain system that the linear part is the convex combination of finite vertex models, and the nonlinear part is a nonlinear sector. A circle-like criterion will be given; it says that some frequency-domain conditions of all vertex or edge systems guarantee the absolute stability of the whole uncertain system. Since a so-called edge system contains only one parameter, the computational complexity of the original problem will be reduced to a much low level.