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A new convolution approach for the time-delay identification of systems with arbitrary entries

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  • Control Theory and Applications
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Abstract

In this paper, an online delay identification approach of continuous-time linear systems with unstructured entries is achieved via a new algebraic technique. The arbitrary input and output trajectories are chosen with close and abundant crossing zero. Initial conditions and static disturbances are taken into account in the design of the identification approach. The proposed method is based on a distributional algebraic technique and a convolution approach. A proposed theorem is hence enounced to identify a single time-delay of such systems. The effectiveness of the proposed approach is demonstrated by an illustrative example. The obtained results show the high performances of the proposed time-delay identification approach in severe operation conditions of the considered system.

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Authors and Affiliations

  1. University of Tunis El Manar, National Engineering School of Tunis, Analysis, Conception and Control of Systems Laboratory, BP 37, Le Belvédère, 1002, Tunis, Tunisia

    Asma Karoui, Kaouther Ibn Taarit & Moufida Ksouri

Authors
  1. Asma Karoui
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  2. Kaouther Ibn Taarit
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  3. Moufida Ksouri
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Correspondence to Asma Karoui.

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Recommended by Associate Editor Tae-Hyoung Kim under the direction of Editor PooGyeon Park.

Asma Karoui received her Ph.D. degree in Electrical Engineering from National Engineering School of Tunis in 2016, the Master degree in 2009 and the National Engineer Diploma from ENIT in 2008. Her research interests include system identification, time-delays, stability, control system.

Kaouther Ibn Taarit is currently an Assistant Professor at the National Engineering School of Monastir. She received her engineering degree in Electrical Engineering in 2006, her M.S. degree in Control and Signal Processing in 2007. In 2010, she obtained her PhD degree from the National Engineering School of Tunis and Central School of Lille. Her research interests include time-delays systems, hybrid systems, parametric identification problems, model predictive control, diagnosis of dynamic systems and Internet of Things.

Moufida Ksouri is a professor at the National Engineering School of Tunis. She obtained her Engineering Master in 1982 from the Higher Normal School of Technical Education and her PhD degree in 1999 from the University of Sciences and Technologies of Lille, France. Her research interests cover the system control theory, fault detection and isolation, fault tolerant control, hybrid dynamical systems, time-delays systems and Internet of Things.

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Karoui, A., Taarit, K.I. & Ksouri, M. A new convolution approach for the time-delay identification of systems with arbitrary entries. Int. J. Control Autom. Syst. 15, 2492–2499 (2017). https://doi.org/10.1007/s12555-015-0310-x

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  • DOI: https://doi.org/10.1007/s12555-015-0310-x

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