STABILITY MARGINS FOR MULTILINEAR INTERVAL CONTROL-SYSTEMS Conference Paper uri icon

abstract

  • A multilinear extension of the result of H. Chapellat and S. P. Bhattacharyya (1989) is given. This result, called the multilinear CB theorem, is useful in determining robust parametric stability and stability margins. The result constitutes a generalization of Kharitonov's theorem to the case of multilinear interval uncertainty. It provides certain manifolds which capture all the extremal information regarding the uncertainty structure. These extremal manifolds play the same role in analysis and design as the CB segments of S. P. Bhattacharyya 1991 do in the linear case. The usefulness of these CB manifolds is illustrated by an example where it is shown how parametric stability margins can be efficiently calculated.

name of conference

  • [1991] Proceedings of the 30th IEEE Conference on Decision and Control

published proceedings

  • PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3

author list (cited authors)

  • CHAPELLAT, H., KEEL, L. H., & BHATTACHARYYA, S. P.

citation count

  • 6

complete list of authors

  • CHAPELLAT, H||KEEL, LH||BHATTACHARYYA, SP

publication date

  • January 1991