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 ThP01.1

Kami, Yasushi (Akashi National Coll. of Tech.), Nobuyama, Eitaku (Kyushu Inst. of Tech.)

Iterative Method for the Output Feedback H2 Control with Regional Pole Placement Constraint

Scheduled for presentation during the Regular Session "H2 and H-infinity control I" (ThP01), Thursday, July 27, 2006, 15:20−15:45, 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 Iterative methods, Optimal control, Linear systems

Abstract

This paper treats the output feedback H2 control with regional pole placement condition (the mixed H2/D-stability control). In general, this problem is a BMI problem which is difficult to be solved theoretically. The purpose of this paper is to propose an iterative method for obtaining a sub-optimal solution of the mixed H2/D-stability control problem. The key idea of this paper is to employ a full-order observer-based controller. The proposed method produces a sequence of controllers which approaches the unconstrained globally optimal H2 controller while it satisfies the D-stability constraint. A numerical example shows the effectiveness of our method.