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Article dans une revue

LQR based MIMO-PID controller for the vector control of an underdamped harmonic oscillator

Abstract : Modulated-Demodulated control (or vector control) allows to simultaneously impose amplitude and phase of a resonator. Moreover, the working frequency in the case of discrete-controller is substantially lower than the resonance frequency. However, the design of a such controller can be complex. In this paper, we outline a design directly in the baseband. To do so, the oscillator is modelled as a non-dimensional Multi-Input-Multi-Output system. An optimal control (Linear Quadratic Regulator) framework can then be used to design the controller. Thanks to ad hoc performances criteria, the weighting matrices are systematically specified according to the desired closed-lop time response. The methodology is validated by an experimental results on a plate actuated using piezoelectric patches.
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https://hal.univ-lille.fr/hal-03011326
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Soumis le : vendredi 18 décembre 2020 - 12:49:56
Dernière modification le : mardi 19 octobre 2021 - 11:45:37

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Anis Kaci, Christophe Giraud Audine, Frédéric Giraud, Michel Amberg, Betty Lemaire-Semail. LQR based MIMO-PID controller for the vector control of an underdamped harmonic oscillator. Mechanical Systems and Signal Processing, Elsevier, 2019, 134 (1), pp.106314. ⟨10.1016/j.ymssp.2019.106314⟩. ⟨hal-03011326v2⟩

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