Characterization of a complementary sensitivity property in feedback control: An information theoretic approach
Characterization of a complementary sensitivity property in feedback control: An information theoretic approach
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反馈控制中互补敏感性特性的表征：信息论方法
DOI：
10.1016/j.automatica.2008.08.011
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
H. Ishii
中科院分区：
文献类型：
--
作者：
Kunihisa Okano;S. Hara;H. Ishii
本文用信息论的方法讨论了反馈控制中互补灵敏度特性的表征。导出了互补灵敏度函数对开环传递函数不稳定零点的积分型约束。它是灵敏度增益的波德积分公式的类似物。为了说明约束条件，我们首先给出了反馈系统中信号的熵和互信息的守恒定律。然后，阐明了控制信号互信息与开环传递函数不稳定零点之间的关系。
This paper addresses a characterization of a complementary sensitivity property in feedback control using an information theoretic approach. We derive an integral-type constraint of the complementary sensitivity function with respect to the unstable zeros of the open-loop transfer function. It is an analogue of Bode’s integral formula for the sensitivity gain. To show the constraint, we first show a conservation law of the entropy and mutual information of signals in the feedback system. Then, we clarify the relationship between the mutual information of control signals and the unstable zeros of the open-loop transfer function.