17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper ThP01.3

Namerikawa, Toru (Kanazawa Univ.), Maruyama, Kazunobu (Nagaoka Univ. of Tech.)

An H-Infinity Control Considering Initial State Uncertainties of Controllers

Scheduled for presentation during the Regular Session "H2 and H-infinity control I" (ThP01), Thursday, July 27, 2006, 16:10−16:35, Room B2

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Keywords H2/H-infinity, L1 control, Uncertain systems, Physics

Abstract

This paper deals with an H-infinity control attenuating initial-state uncertainties of controllers.An H-infinity control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty of controllers for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H-infinity controls with good transients and assures H-infinity controls of robustness against initial-state uncertainty of controllers. We derive a necessary and sufficient condition of the mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed an H-infinity control approach.