The finite horizon singular time-varying $H_\infty$ control problem with dynamic measurement feedback
The finite horizon singular time-varying $H_\infty$ control problem with dynamic measurement feedback
复制标题
具有动态测量反馈的有限时域奇异时变$H_infty$控制问题
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
H. Trentelman
中科院分区：
文献类型：
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作者：
A. Stoorvogel;H. Trentelman
本文讨论了具有测量反馈的有限水平形式的$H_inty$问题。给定一个有限维线性时变系统，加上一个正实数$\Gamma，我们得到了可能时变的动态补偿器存在的充要条件，使得闭环系统的$L_2([0，t_1])$诱导范数小于$\Gamma$。这些条件用一对二次微分不等式来表示，推广了最近在有限范围内引入的著名的Riccati微分方程。
This paper is concerned with the finite horizon version of the $H_\infty$ problem with measurement feedback. Given a finite-dimensional linear , time-varying system, together with a positive real number $\gamma$, we obtain necessary and sufficient conditions for the existence of a possibly time-varying dynamic compensator such that the $L_2([0,t_1])$-induced norm of the closed loop operator is smaller than $\gamma$. These conditions are expressed in terms of a pair of quadratic differential inequalities, generalizing the well-known Riccati differential equations introduced recently in the context of finite horizon $H_\infty$ control.