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Time-delay estimation in multivariate systems using Hilbert transform relation and partial coherence functions
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DOI：10.1016/j.ces.2009.08.041.png)
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摘要
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The delay estimation problem for open-loop single-input single-output (SISO) systems has been widely studied to the effect that well-established methods are available now. On the other hand, the delay estimation for MIMO systems remains a challenge to-date due to the presence of interactions among input and output variables. In this work, a method based on partial coherence functions (PCF) and Hilbert transform (HT) relation is presented to estimate time-delay for MIMO systems. The key step in the proposed method involves decoupling interactions using the PCF. The HT relation provides a platform for obtaining robust estimates of the time-delay by exploiting the causal nature of the relationship. The highlight of this method in contrast to conventional correlation-based techniques is that the problem formulation explicitly incorporates the delay parameter. In addition, the proposed method uses frequency-domain analysis which allows one to take into effects of noise in a straightforward way. Under closed-loop conditions, time-delay is estimated by introducing a dither signal at the controller output. Results from simulation and experimental studies are presented to demonstrate the effectiveness and potential of this method. (C) 2009 Elsevier Ltd. All rights reserved.
Keyword:
Process control
Instrumentation
Simulation
Time-delay estimation
Hilbert transform relation
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4.3
论文数:
2.2W
被引数:
5.5W
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