Fixed Order Multivariable Discrete-Time Control Conference Paper uri icon


  • In this paper we develop a new algorithm to compute stabilizing sets for a fixed order digital controller for a multivariable plant. This computation is crucial in applications and few results are available. Our algorithm is based on a) the Tchebyshev representation of the unit circle image of a polynomial, b) recent results on sign-definite decomposition and c) bounded phase results from Robust Stability. These are combined to capture the unit circle image set of a polynomial over an interval set of controllers. The algorithm can be used recursively to obtain inner approximations of stabilizing sets. Examples are included to illustrate the algorithm. ©2009 IEEE.

author list (cited authors)

  • Keel, L. H., & Bhattacharyya, S. P.

citation count

  • 0

publication date

  • December 2009