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- Title
Laguerre-based modelling and predictive control of multi-input multi-output systems applied to a communicating two-tank system (CTTS).
- Authors
Mbarek, Abdelkader; Bouzrara, Kais; Garna, Tarek; Ragot, José; Messaoud, Hassani
- Abstract
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 ℓ2-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).
- Subjects
MIMO systems; PREDICTIVE control systems; LAGUERRE geometry
- Publication
Transactions of the Institute of Measurement & Control, 2017, Vol 39, Issue 5, p611
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/0142331215613150