EXTREMAL ROBUSTNESS PROPERTIES OF MULTILINEAR INTERVAL SYSTEMS Academic Article

abstract

• This paper deals with robustness properties of a control system subject to parameter uncertainty when the parameters appear affine multilinearly in the coefficients of the characteristic polynomial. The robust Hurwitz stability of such a multilinear interval polynomial family reduces to that of the stability of a set of manifolds derived from the Kharitonov polynomials. Several extremal properties of these stability manifolds are derived. These properties are useful in determining the worst case parametric, H and nonlinear sector bounded stability margins for control systems containing interval parametric uncertainty. They generalize previous results obtained by the authors for the linear case. 1994.

authors

• Bhattacharyya, S

published proceedings

• AUTOMATICA

author list (cited authors)

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

citation count

• 13

complete list of authors

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

publication date

• June 1994

publisher

• Elsevier  Publisher

published in

• Automatica  Journal

keywords

• Extremal Manifold
• ROBUST CONTROL
• Stability Margin

Digital Object Identifier (DOI)

• 10.1016/0005-1098(94)90198-8

start page

• 1037

end page

• 1042

volume

• 30

issue

• 6

URL

• http://dx.doi.org/10.1016/0005-1098(94)90198-8