Polynomial stabilization with bounds on the controller coefficients

Julie Eaton; Sara Grundel; Mert Gürbüzbalaban; Michael L. Overton

doi:10.1016/j.ifacol.2015.09.487

Conference paper, 2015

Polynomial stabilization with bounds on the controller coefficients

Julie Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael L. Overton

IFAC Symposium on Robust Control Design (ROCOND), 2015.

Publisher (DOI)

In brief

Stabilizing a discrete-time polynomial family when the controller’s coefficients must stay within given bounds — a root-radius optimization with box constraints. The paper characterizes when the problem is feasible and gives explicit solutions in low-dimensional cases, connecting a hard nonsmooth optimization problem to a classical control question.

Topics

Spectral & nonsmooth optimization

Cite

@inproceedings{eaton2015stabilization,
  title   = {Polynomial stabilization with bounds on the controller coefficients},
  author  = {Julie Eaton and Sara Grundel and Mert Gürbüzbalaban and Michael L. Overton},
  year    = {2015},
  booktitle = {IFAC Symposium on Robust Control Design (ROCOND)},
  doi     = {10.1016/j.ifacol.2015.09.487},
}