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IQC Synthesis based on Inertia Constraints
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1999 (English)In: Proceedings of the 14th IFAC World Congress, 1999, Vol. G, 163-168 p.Conference paper (Refereed)
Abstract [en]

Integral quadratic constraints (IQC:s) can be used for proving stability of systems with uncertainties and nonlinearities. Similarly, IQC:s can also be used for controller synthesis. Necessary and sufficient conditions for the existence of such a controller is derived. These conditions include linear matrix inequalities (LMI:s) and matrix inertia specifying the number of negative eigenvalues of a matrix. In general, these conditions are non-convex. Connections to bilinear matrix inequalities and LMI:s with rank constraints are also given.

Place, publisher, year, edition, pages
1999. Vol. G, 163-168 p.
Keyword [en]
Control system synthesis, Matrix inertia, Linear matrix inequalities, Integral quadratic constraints
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-91177ISBN: 978-0080432137OAI: diva2:617289
14th IFAC World Congress, Beijing, China, July, 1999
Available from: 2013-04-22 Created: 2013-04-17 Last updated: 2013-08-26

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Helmersson, Anders
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Automatic ControlThe Institute of Technology
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