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.

name of conference

  • 2009 Joint 48th IEEE Conference on Decision and Control (CDC) and 28th Chinese Control Conference (CCC)

published proceedings

  • Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference

author list (cited authors)

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

citation count

  • 0

complete list of authors

  • Keel, LH||Bhattacharyya, SP

publication date

  • December 2009