Brief paper: Parameterization of all stabilizing H∞ static state-feedback gains: Application to output-feedback design

Authors:
J. Gadewadikar;Frank L. Lewis;L. Xie;V. Kucera;M. Abu-Khalaf
Affiliations:
Automation and Robotics Research Institute, University of Texas at Arlington, USA;Automation and Robotics Research Institute, University of Texas at Arlington, USA;School of Electrical and Electrical Engineering, Nanyang Technological University, Singapore;Center for Applied Cybernetics, and Control Engineering at Czech Technical University, Prague, Czech Republic;Automation and Robotics Research Institute, University of Texas at Arlington, USA
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 6
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Abstract

This paper presents a simplified parameterization of allH∞ static state-feedback controllers in terms of asingle algebraic Riccati equation and a free parameter matrix. As aspecial case, necessary and sufficient conditions for the existenceof an static output-feedback gain are given. An efficientcomputational algorithm is given and its correctness proven. Noinitial stabilizing output-feedback gain is needed. The techniqueis used to design an H∞ lateral-directionalcommand augmentation system for the F-16 aircraft.