On identifiability of linear time-delay systems
On identifiability of linear time-delay systems
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DOI：
10.1109/tac.2002.801202
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发表时间：
2002-11
期刊：
影响因子：
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通讯作者：
Y. Orlov;L. Belkoura;J. Richard;M. Dambrine
中科院分区：
文献类型：
--
作者：
Y. Orlov;L. Belkoura;J. Richard;M. Dambrine
可辨识性分析的线性时滞系统的延迟状态，控制输入，和测量输出，所有与有限数量的集中延迟。这些系统由具有不确定时不变参数和时滞的线性泛函微分方程控制。它表明，这样的系统的传递函数允许在线识别，如果一个足够的非光滑输入信号被施加到系统。充分非光滑信号的定义是通过对控制输入和系统状态施加不同的光滑性来构造的。所需的非光滑性验证独立于任何潜在的时滞系统。
Identifiability analysis is developed for linear time-delay systems with delayed states, control inputs, and measured outputs, all with a finite number of lumped delays. These systems are governed by linear functional differential equations with uncertain time-invariant parameters and delays. It is shown that the transfer function of such a system admits the online identification if a sufficiently nonsmooth input signal is applied to the system. Sufficiently nonsmooth signals are constructively defined by imposing different smoothness properties on the control input and the state of the system. The required nonsmoothness property is verified independently of any underlying time-delay system.