Ellipsoidal set-theoretic approach for stability of linear state-space models with interval uncertainty

Zhiping Qiu, Peter C. Müller and Andreas Frommer

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 1, 45-59

Abstract: This paper addresses the issue of conservatism in the stability robustness bound obtained by the Lyapunov matrix equation solution. Ellipsoidal set-theoretical approach is employed to improve the bound on the interval uncertainty of an asymptotically stable linear system for robust stability. The formula of determination of the ellipsoid from the given interval uncertainties is given in this paper. The improved bound is obtained, using ellipsoidal set-theoretical approach, on vector uncertainties (i.e. structured uncertainty) as well as on a matrix uncertainties (i.e. unstructured uncertainty). The bound is shown to be less conservative than that obtained by the interval set-theoretical approach. Examples given include comparison of the ellipsoidal set-theoretical approach with the interval set-theoretical approach.

Keywords: Ellipsoidal set-theoretical approach; Interval uncertainty; Robust stability; Linear systems (search for similar items in EconPapers)
Date: 2001
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037847540100283X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:1:p:45-59

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().