Parameterization of all stabilizing Hinfinity static state-feedback gains: Application to output-feedback design

Parameterization of all stabilizing Hinfinity static state-feedback gains: Application to output-feedback design
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DOI:
10.1016/j.automatica.2007.02.005
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发表时间:
2007-09
期刊:
Autom.
影响因子:
--
通讯作者:
J. Gadewadikar;F. Lewis;Lihua Xie;V. Kučera;M. Abu-Khalaf
J. Gadewadikar;F. Lewis;Lihua Xie;V. Kučera;M. Abu-Khalaf
中科院分区:
其他
文献类型:
--
作者:
J. Gadewadikar;F. Lewis;Lihua Xie;V. Kučera;M. Abu-Khalaf

文献摘要

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本文用一个代数Riccati方程和一个自由参数矩阵给出了所有H∞静态状态反馈控制器的简化参数化。作为特例,给出了静态输出反馈增益存在的充分必要条件。给出了一个有效的计算算法,并证明了算法的正确性。不需要初始稳定输出反馈增益。该方法已用于F-16飞机H∞横航向指令增稳系统的设计。
This paper presents a simplified parameterization of all H∞static state-feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an static output-feedback gain are given. An efficient computational algorithm is given and its correctness proven. No initial stabilizing output-feedback gain is needed. The technique is used to design an H∞lateral–directional command augmentation system for the F-16 aircraft.