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Discrete-Time Flatness-Based Control Design for LTV MIMO Systems

  • Research Article - Electrical Engineering
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Abstract

This paper deals with the design of an linear time-varying (LTV) controller for multiple-input multiple-output (MIMO) systems. Using the concept of differential flatness property combined with a dead-beat observer, we propose as a result a two-degree-of-freedom (2-DoF) controller without the need to solve Bezout equation and avoid left and right matrix factorizations in a MIMO case. The main contribution of this paper is to generalize the previous works of Ben Abdallah et al. (in: Conférence Internationale Francophone de l’Automatique, CIFA, 2012, in: International journal of dynamics and control (IJDY). Springer, New York, 2013, in: International conference on control, decision and information technologies, CoDIT, Metz, 2014, Sleimi et al. in: IEEE 4th international conference on control engineering and information technology, CEIT, Hammamet, 2016) to deal with discrete-time flatness-based control for LTV MIMO systems leading to a 2-DoF controller. Simulation results of an academic system are given to illustrate the efficiency of the proposed methodology.

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Authors and Affiliations

  1. University of Tunis El Manar National Engineering School of Tunis, BP-36, le Belvedere, 1002, Tunis, Tunisia

    Marouen Sleimi & Mounir Ayadi

  2. Higher Institute of Technology Study of Rades, BP-172, 2098, Radès Médina, Tunisia

    Mohamed Ben Abdallah

Authors
  1. Marouen Sleimi
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  2. Mohamed Ben Abdallah
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  3. Mounir Ayadi
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Correspondence to Marouen Sleimi.

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Sleimi, M., Ben Abdallah, M. & Ayadi, M. Discrete-Time Flatness-Based Control Design for LTV MIMO Systems. Arab J Sci Eng 44, 2389–2398 (2019). https://doi.org/10.1007/s13369-018-3545-z

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  • DOI: https://doi.org/10.1007/s13369-018-3545-z

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