Robustness analysis via Tchebyshev representations Conference Paper uri icon

abstract

  • In this paper we develop some new techniques for the computation of stability margins under parameter variations, for discrete time systems. This is based on representing the unit circle image of a real polynomial in terms of Tchebyshev polynomials. The Tchebyshev representation leads to simple formulas for stability margin computation. We specifically develop a method of verifying the Schur stability of a line segment and also compute the parametric stability margin of a parameter vector, centered around a nominal value. Potential applications of the Tchebyshev representation are discussed.

name of conference

  • Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)

published proceedings

  • PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5

author list (cited authors)

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

citation count

  • 1

complete list of authors

  • Keel, LH||Bhattacharyya, SP

publication date

  • January 2001