H, Control of Differential Algebraic Equation Systems: The Linearizing Change of Variables Approach Revisited

H, Control of Differential Algebraic Equation Systems: The Linearizing Change of Variables Approach Revisited
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H,微分代数方程组的控制:重新审视变量线性化变化方法

DOI:
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发表时间:
2001
期刊:
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影响因子:
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通讯作者:
F. Allgowed
F. Allgowed
中科院分区:
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文献类型:
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作者:
A. Rehmt;F. Allgowed

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和非完整约束(LO)。本文还研究了H_∞性能约束下的高指标甚至非正则线性微分代数系统的控制问题。在以前的文章(8)中,在对系统描述中代数方程的结构作了一定的假设的情况下,用线性化变量变换方法解决了这个问题。这一限制在本文中已被克服。通过对H_i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(LMI)给出)不仅在结构上变得更简单,而且与(8)相反,还包括没有代数约束的情况。
and non-holonomic constraints (lo). Also in elec- In this paper control of high index or even non- regular linear differential-algebraic-equation sys- tems subject to H, performance constraints is considered. In a previous paper (8) this problem was addressed by a linearizing change of variables approach under a certain assumption on the struc- ture of the algebraic equations within the system description. This restriction is overcome in the pa- per at hand. By means of a modified linearizing change of variables approach to the H, control problem, the synthesis conditions (given as linear matrix inequalities (LMIs)) not only become struc- turally simpler) but, in contrast to (8), also include the case without algebraic constraints.