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A New Method for the Static Output Feedback Stabilization

✍ Scribed by Xiang, Ji ;Su, Hong Ye ;Chu, Jian

Publisher: Curtin University of Technology
Year: 2008
Tongue: English
Weight: 386 KB
Volume: 13
Category: Article
ISSN: 0969-1855
DOI: 10.1002/apj.5500130319

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The problem of the static output feedback stabilization is the solvability of the two invert‐coupled matrix inequalities. This is non‐linear optimal problem and cannot be solved directly. In this paper, the relation of the two coupled matrix inequalities is studied and a sufficient condition of the solvability for the stabilization problem is proposed on a structural Lyapunov matrix. The corresponding algorithm is presented, which is non‐iterative and simply solved by linear matrix inequality (LMI) tools. Examples are given to show the simplicity and effectiveness of the proposed method.

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