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Article Dans Une Revue Transactions of the Institute of Measurement and Control Année : 2017

Laguerre-based modelling and predictive control of multi-input multi-output systems applied to a communicating two-tank system

Résumé

In this paper, a novel method is constructed for model predictive control (MPC) of multi-input multi-output (MIMO) systems. The latter are represented by a discrete-time MIMO ARX model expansion on Laguerre orthonormal bases. The resulting model, entitled the MIMO ARX-Laguerre model, provides a recursive representation with parameter number reduction. This reduction is strongly linked to the choice of Laguerre poles, and therefore we propose a new algorithm to optimize the Laguerre poles of the resulting model. The recursive formulation of the MIMO ARX-Laguerre model is used to obtain the MPC strategy. An -norm finite moving horizon cost function is used to obtain a control law which is implemented as a quadratic programming (QP) problem. The effectiveness of the proposed controller that takes into account physical constraints is illustrated by a numerical simulation example and by a practical validation on an experimental communicating two-tank system (CTTS).
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Dates et versions

hal-01229572 , version 1 (16-11-2015)

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Abdelkader Mbarek, Kais Bouzrara, Tarek Garna, José Ragot, Hassani Messaoud. Laguerre-based modelling and predictive control of multi-input multi-output systems applied to a communicating two-tank system. Transactions of the Institute of Measurement and Control, 2017, 39 (5), pp.611-624. ⟨10.1177/0142331215613150⟩. ⟨hal-01229572⟩
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