Reduced-order multivariable modeling and nonlinear control of melt-pool geometry and temperature in directed energy deposition

Qian Wang, Jianyi Li, Michael Gouge, Abdalla R. Nassar, Pan Michaleris, Edward W. Reutzel

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations


There has been continuing effort in developing analytical, numerical and empirical models of laser-based additive manufacturing (AM) processes in the literature. However, advanced physics-based models that can be directly used for feedback control design, i.e., control-oriented models, are severely lacking. In this paper, we develop a reduced-order (in contrast to finite element models) multivariable model for directed energy deposition. One important difference between our model from the existing work lies in a novel parameterization of the material transfer rate in the deposition as a function of the process operating parameter. Such parameterization allows a more accurate characterization of the steady-state melt-pool geometry compared to the existing lumped-parameter analytical models. Predictions of melt-pool geometry and temperature from our model are validated using experimental data obtained from deposition of Ti-6AL-4V on a laser engineering net shaping (LENS) AM process and finite element analysis. Then based on this reduced-order multivariable model, we design a nonlinear multi-input multi-output (MIMO) control, specifically a feedback linearization control, to track both melt-pool height and temperature reference trajectories using laser power and laser scan speed.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9781467386821
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2016 American Control Conference, ACC 2016
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


Dive into the research topics of 'Reduced-order multivariable modeling and nonlinear control of melt-pool geometry and temperature in directed energy deposition'. Together they form a unique fingerprint.

Cite this