Brief paper: Robust adaptive H∞ control using integral quadratic constraints

Authors:
Ian R. Petersen
Affiliations:
School of Information Technology and Electrical Engineering, University of New South Wales at the Australian Defence Force Academy, Canberra, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 3
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Abstract

This paper introduces a new approach to robust adaptive H^~ control. The main idea of the paper is to extend an existing approach to robust H^~ control to allow for constant or slowly varying unknown parameters in an adaptive way. This is achieved by treating the presence of the unknown parameters as states resulting in a bilinear nonlinearity. A copy of this nonlinearity is repeated in the controller and the presence of the repeated nonlinearity is exploited using a special integral quadratic constraint.