Backstepping Control for Spatially Discretized PDE Models

Kinetic Control - Non-burning Plasma

• E. Schuster and M. Krstic
  Nonlinear Boundary Control of Non-Burning Plasma Kinetic Profiles in Cylindrical Geometry
  Proceedings of the 41th IEEE Conference on Decision and Control, Las Vegas, NV, USA, Dec. 2002.
  • Presentation
• E. Schuster and M. Krstic
  Control of a non-linear PDE system arising from non-burning tokamak plasma transport dynamics
  International Journal of Control, vol.76, no.11, pp. 1116-1124, July 2003.

Kinetic Control - Burning Plasma

• M. D. Boyer and E. Schuster
  Backstepping Control of Density and Energy Profiles in a Burning Tokamak Plasma
  Proceedings of the 50th IEEE Conference on Decision and Control, Orlando, Florida, December 12-15, 2011.
  • Presentation
• M. D. Boyer and E. Schuster
  Burn Control in Fusion Reactors Using Simultaneous Boundary and Distributed Actuation
  Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013.
  • Presentation
  NOTE 1: Backstepping boundary control is combined with interior control.
  NOTE 2: An adaptive law is proposed for disturbance estimation and rejection.

Current Profile Control

• M.D. Boyer, J. Barton, E. Schuster and M.L. Walker
  Backstepping Control of the Plasma Current Profile in the DIII-D Tokamak
  Proceedings of the 2012 American Control Conference, Montreal, Canada, June 27-29, 2012.
  • Presentation
• M.D. Boyer, J. Barton, E. Schuster, M.L. Walker, T.C. Luce, J.R. Ferron, B.G. Penaflor, R.D. Johnson and D.A. Humphreys
  Backstepping Control of the Toroidal Plasma Current Profile in the DIII-D Tokamak
  IEEE Transactions on Control Systems Technology, vol. 22, no. 5, pp. 1725-1739, September 2014.
  NOTE: An adaptive law is proposed for disturbance estimation and rejection.