Frequency domain uncertainty and the graph topology
- 1 January 1993
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 38 (9) , 1371-1383
- https://doi.org/10.1109/9.237648
Abstract
A new metric on linear, time-invariant systems is defined. This metric is no greater than the gap metric, and is in fact the smallest metric for which a certain robust stabilization result holds. Unlike other known metrics which induce the graph topology, it has a clear frequency response interpretation. This allows questions regarding robustness in the face of parametric uncertainty to be considered in terms of this metric.Keywords
This publication has 24 references indexed in Scilit:
- A loop-shaping design procedure using H/sub infinity / synthesisIEEE Transactions on Automatic Control, 1992
- Robust stabilization in the gap metric: controller design for distributed plantsIEEE Transactions on Automatic Control, 1992
- Optimal robustness in the gap metricIEEE Transactions on Automatic Control, 1990
- Estimating robustness on the Riemann sphereInternational Journal of Control, 1989
- On stabilization and the existence of coprime factorizationsIEEE Transactions on Automatic Control, 1989
- Normalised coprime factorizations for nonstrictly proper systemsIEEE Transactions on Automatic Control, 1988
- A connection between normalized coprime factorizations and linear quadratic regulator theoryIEEE Transactions on Automatic Control, 1987
- Robust stabilization of linear multivariable systems: relations to approximationInternational Journal of Control, 1986
- The graph metric for unstable plants and robustness estimates for feedback stabilityIEEE Transactions on Automatic Control, 1984
- ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEMMathematics of the USSR-Sbornik, 1971