Model predictive control of piezo-actuated structures using reduced order models

Rosenzweig, Philipp, Kater, Andreas and Meurer, Thomas (2018) Model predictive control of piezo-actuated structures using reduced order models Control Engineering Practice, 80 . pp. 83-93. DOI 10.1016/j.conengprac.2018.08.001.

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Supplementary data:


A model predictive control method for a flexible structure consisting of two beams, equipped with macro fiber composite (MFC) patches as piezoelectric actuators is presented. Adjacent beams are connected at the tip by an elastic string. The equations of motion are derived by the evaluation of the extended Hamilton’s principle. Spatially dependent parameters are considered, due to different material characteristics of the carrier beams and the MFC patches. The spatially dependent variable is approximated using Galerkin’s method, leading to the state space representation of the beam structure by means of ordinary differential equations (ODEs). In order to avoid approximation errors, a high order approximation of the distributed-parameter system is required. With a model order reduction a small system describing approximately the same dynamics is obtained. A model predictive controller is designed, analyzed and evaluated in a simulation and at the experimental set-up. For the real-time capability of the model predictive controller a move blocking method by downsampling the prediction horizon is presented.

Document Type: Article
Keywords: Model predictive control Flexible structures Model order reduction Experiment Real-time implementation Parameter identification Energy-based modeling
Research affiliation: Kiel University > Kiel Marine Science
OceanRep > The Future Ocean - Cluster of Excellence
Kiel University
Refereed: Yes
DOI etc.: 10.1016/j.conengprac.2018.08.001
ISSN: 09670661
Projects: Future Ocean
Date Deposited: 04 Dec 2018 14:02
Last Modified: 04 Dec 2018 14:02

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