Robust H∞ control of distributed delay systems with application to combustion control

Robust H∞ control of distributed delay systems with application to combustion control
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DOI:
10.1109/9.975483
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发表时间:
2001-12
期刊:
IEEE Trans. Autom. Control.
影响因子:
--
通讯作者:
Lihua Xie;E. Fridman;U. Shaked
Lihua Xie;E. Fridman;U. Shaked
中科院分区:
其他
文献类型:
--
作者:
Lihua Xie;E. Fridman;U. Shaked

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本文讨论了线性分布延迟系统的H/sub /spl分析与综合。建立了有效的稳定性和L/sub /增益判据。它是基于最近的线性时滞系统的分析和设计方法,该方法将系统表示为等效的描述符形式。利用得到的判据推导出一种有效的状态反馈控制设计,使分布式延迟系统在系统参数存在多面体不确定性的情况下保持稳定并获得保证的扰动衰减水平。将该方法应用于火箭发动机燃烧室燃烧的鲁棒稳定与控制。
The article is concerned with the H/sub /spl infin// analysis and synthesis of linear distributed delay systems. An efficient stability and L/sub 2/-gain criterion is established. It is based on a recent approach to the analysis and design of linear time delay systems which represents the system in an equivalent descriptor form. The obtained criterion is used to derive an efficient state-feedback control design which stabilizes the distributed delay system and achieves a guaranteed disturbance attenuation level in spite of a polytopic uncertainty in the system parameters. The new method is applied to the robust stabilization and control of combustion in rocket motor chambers.