Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback

Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback
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DOI:
10.1109/acc.2002.1024001
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发表时间:
2002-05
期刊:
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)
影响因子:
--
通讯作者:
G. García;B. Pradin;S. Tarbouriech;Fanyou Zeng
G. García;B. Pradin;S. Tarbouriech;Fanyou Zeng
中科院分区:
其他
文献类型:
--
作者:
G. García;B. Pradin;S. Tarbouriech;Fanyou Zeng

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本文提出了一种系统的离散不确定线性系统的静态输出反馈控制设计方法。结果表明,如果开环系统满足某些特定的结构条件,且不确定性具有特定的结构,则可以使用仅涉及原始系统矩阵的公式轻松计算静态输出反馈增益。在系统必须满足的条件中,最强的条件依赖于最小相位参数。考虑了平方和非平方系统。通过二次准则讨论了性能问题(保证成本控制)。
This paper proposes a systematic approach for the static output feedback control design for discrete-time uncertain linear systems. It is shown that if the open-loop system satisfies some particular structural conditions and the uncertainty has a specific structure, a static output feedback gain can be calculated easily, using a formula only involving the original system matrices. Among the conditions the system has to satisfy, the strongest one relies on a minimum phase argument. Square and non-square systems are considered. The performance problem through a quadratic criterion is also discussed (guaranteed cost control).