IQC synthesis based on inertia constraints

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IQC synthesis based on inertia constraints

Helmersson, Anders

IFAC Proceedings Volumes, July 1999, 1999-07-00, Volume: 32, Issue: 2

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Integral quadratic constraints (IQCs) can be used for proving stability of systems with uncertainties and nonlinearities. Similarly, IQCs 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 (LMIs) 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 LMIs with rank constraints are also given.

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Helmersson, Anders

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