Adaptive identification of linear time‐delay systems
Adaptive identification of linear time‐delay systems
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DOI：
10.1002/rnc.850
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发表时间：
2003-07
影响因子：
3.9
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
针对状态向量和控制输入均具有多个集中时滞的线性动态系统，提出了一种自适应参数辨识器的综合方法。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。假设系统的状态可用于测量。给出了系统参数和时滞可识别的充分必要条件。一旦参数的可辨识性得到保证，系统参数和延迟的同时在线识别的自适应识别器实现。理论结果得到了数值模拟的支持。版权所有© 2003年约翰威利父子有限公司。
Synthesis of an adaptive parameter identifier is developed for linear dynamic systems with finitely many lumped delays in the state vector and control input. These systems are governed by linear functional differential equations with uncertain time‐invariant parameters and delays. The state of the system is assumed to be available for measurements. Constructive necessary and sufficient conditions for the system parameters and delays to be identifiable are provided. Once the parameter identifiability is guaranteed the simultaneous on‐line identification of the system parameters and delays is achieved by the adaptive identifier proposed. Theoretical results are supported by numerical simulation. Copyright © 2003 John Wiley & Sons, Ltd.