Mixed LMI/randomized methods for static output feedback control design
Mixed LMI/randomized methods for static output feedback control design
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DOI：
10.1109/acc.2010.5531075
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
D. Arzelier;E. Gryazina;D. Peaucelle;Boris Polyak
中科院分区：
文献类型：
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作者：
D. Arzelier;E. Gryazina;D. Peaucelle;Boris Polyak
研究了线性时不变系统的静态输出反馈镇定问题。其目标不仅是计算稳定的sof，而且是计算稳定sof的离散集合。为此，定义了两种互补的混合LMI/随机化算法。其主要思想是将稳定SOF的一种特殊的松弛LMI参数化与打了就跑的方法在给定域上生成随机点的高效率相结合。在COMPleib库的几个例子上分析了它们各自的相关性，该库旨在作为评估降阶控制器综合算法性能的参考库。最后，本文还对COMPleib库的不同相关实例进行了广泛的评估。
This paper addresses the problem of stabilization of LTI systems via static output feedback (sof). The objective is not only to compute a stabilizing sof but rather to compute a discrete set of stabilizing sof. Two complementary mixed LMI/randomized algorithms are defined for this purpose. The main idea is to combine a particular relaxed LMI parametrization of stabilizing sof with high efficiency of Hit-and-Run method for generating random points in a given domain. Their respective relevance is analysed on several examples of the COMPleib library which is intended to be the reference library for evaluating performance of reduced-order controller synthesis algorithms. Finally, the paper additionally provides an extensive evaluation of the different relevant instances of the COMPleib library.