H/sub /spl infin// control of differential algebraic equation systems: the linearizing change of variables approach revisited
H/sub /spl infin// control of differential algebraic equation systems: the linearizing change of variables approach revisited
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H/sub /spl infin//微分代数方程组的控制：重新审视变量线性化变化方法
DOI：
10.1109/acc.2001.946355
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
F. Allgöwer
中科院分区：
文献类型：
--
作者：
A. Rehm;F. Allgöwer
本文研究了H/sub /spl infin//性能约束下的高指标甚至非正则线性微分代数方程系统的控制问题。在以前的文件（雷姆和Allgower，2000年），这个问题是解决了一个线性化的变量变化的方法，在一定的假设下，在系统描述的代数方程的结构。这一限制在本文中得到克服。通过对H/sub /spl infin//控制问题的一种改进的线性化变量变换方法，综合条件（以线性矩阵不等式形式给出）不仅在结构上变得简单，而且与雷姆和Allgower，2000相比，还包括了没有代数约束的情况。
In this paper control of high index or even nonregular linear differential-algebraic-equation systems subject to H/sub /spl infin// performance constraints is considered. In a previous paper (Rehm and Allgower, 2000) this problem was addressed by a linearizing change of variables approach under a certain assumption on the structure of the algebraic equations within the system description. This restriction is overcome in the paper at hand. By means of a modified linearizing change of variables approach to the H/sub /spl infin// control problem, the synthesis conditions (given as linear matrix inequalities (LMIs)) not only become structurally simpler, but, in contrast to Rehm and Allgower, 2000, also include the case without algebraic constraints.