Convex analysis of output feedback control problems: robust stability and performance
- 1 July 1996
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 41 (7), 997-1003
- https://doi.org/10.1109/9.508904
Abstract
This paper addresses the problem of optimal H/sub 2/ control by output feedback. Necessary and sufficient conditions on the existence of a linear stabilizing output feedback gain are provided in terms of the intersection of a convex set and a set defined by a nonlinear real valued function. The results can be easily extended to deal with linear uncertain systems, where uncertainties are supposed to belong to convex bounded domains providing an H/sub 2/-guaranteed cost output feedback control. Thanks to the properties of the above-mentioned function, we show that under certain conditions, convex programming tools can be used for numerical purposes. Examples illustrate the theoretical results.Keywords
This publication has 14 references indexed in Scilit:
- A unified approach to fixed order controller design via linear matrix inequalitiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Optimal H/sub 2/ control by output feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Convex analysis of output feedback structural constraintsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- An alternate numerical solution to the linear quadratic problemIEEE Transactions on Automatic Control, 1994
- Systems & Control Letters, 1992
- Stabilizability conditions of multivariable uncertain systems via output feedback controlIEEE Transactions on Automatic Control, 1990
- Robust control with structure perturbationsIEEE Transactions on Automatic Control, 1988
- Computational methods for parametric LQ problems--A surveyIEEE Transactions on Automatic Control, 1987
- Necessary and sufficient conditions for quadratic stabilizability of an uncertain systemJournal of Optimization Theory and Applications, 1985
- Convex AnalysisPublished by Walter de Gruyter GmbH ,1970