Efficient Embedded Model Predictive Vibration Control via Convex Lifting

Martin Gulan 1 Gergely Takacs 1 Ngoc Anh Nguyen 2 Sorin Olaru 3, 2 Pedro Rodriguez-Ayerbe 2 Boris Rohal'-Ilkiv 1
1 Slovak University of Technology in Bratislava
2 L2S - Laboratoire des signaux et systèmes
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : This paper presents an efficient real-time implementation of embedded model predictive control, adopted in the context of active vibration control with the objective of minimizing the tip deflection of lightly damped cantilever beams. In particular , we focus on memory and time-efficient explicit solutions to the associated constrained optimal control problem that are easily implementable on low-end embedded hardware. To this end, we exploit the concept of convex lifting and show how it can be used to devise low-complexity, regionless piecewise affine controllers without any loss of optimality and performance. Efficiency of this constructive procedure is quantified via an extensive complexity analysis, evidenced by a successful practical deployment and optimal vibration control performance using a family of 32-bit ARM Cortex-M based microcontroller platforms.
Keywords : embedded systems Model predictive control convex lifting explicit solutions vibration control
Document type :
Journal articles
Complete list of metadatas

Cited literature [55 references]  Display  Hide  Download
https://hal-centralesupelec.archives-ouvertes.fr/hal-01720261
Contributor : Sorin Olaru <>
Submitted on : Sunday, March 18, 2018 - 10:48:58 PM
Last modification on : Friday, December 20, 2019 - 11:48:05 AM
Long-term archiving on: Monday, September 3, 2018 - 10:04:24 PM

File

IEEETCST_EffEmbMPVCviaCL.pdf
Files produced by the author(s)

Identifiers

Collections

CENTRALESUPELEC | CNRS | TDS-MACS | L2S | INRIA | SUP_LSS | SUP_SYSTEMES | UNIV-PARIS-SACLAY

Citation

Martin Gulan, Gergely Takacs, Ngoc Anh Nguyen, Sorin Olaru, Pedro Rodriguez-Ayerbe, et al.. Efficient Embedded Model Predictive Vibration Control via Convex Lifting. IEEE Transactions on Control Systems Technology, Institute of Electrical and Electronics Engineers, In press, PP (99), pp.1-15. ⟨10.1109/TCST.2017.2764019⟩. ⟨hal-01720261⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

312

Files downloads

587

Contact

Informations

CCSD