一类SISO系统的结构奇异值u综合

u-Synthesis for A Class of SISO Systems

中文关键词  结构奇异值方法  SISO系统  结构化不确定性  鲁棒性

英文关键词  u-synthesis  SISO systems  structured uncertainties  robustness

中文摘要

      具有两个标量不确定性的结构化不确定性SISO系统，u综合一般是通过闭环系统u值的上界函数inf(DMD-1)来完成的。本文给出了这种情况下u值及其上界函数中的D阵元素的显式表达式，从而使u分析尤其是u综合的计算量减少很多，并给出了应用D阵元素的显式表达式的u综合算法和一个算例。

英文摘要

      This paper addresses the u-synthesis problem for SISO systems with two scalar uncertainties. Generally, an upper bound for u, i.e. inf(DMD-1), is used to achieve the goal. In the spectified situation of this paper, we derive the analytic solutions for both u and the optimal D in the upper bound. Hence, the computation for u-synthesis can be greatly eased. While the u-synthesis algorithm based on the analytic solution for optimal D is shown, an example is illustrated.