Static output feedback stabilization with prescribed degree of stability

被引：47

作者：

Benton, RE ^{[1
]}

Smith, D

机构：

[1] Louisiana State Univ, Dept Mech Engn, Baton Rouge, LA 70803 USA

[2] Rimkus Consulting Grp Inc, Houston, TX 77046 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 10期

关键词：

degree of stability; linear matrix inequalities (LMI); noniterative method; static output feedback;

D O I：

10.1109/9.720516

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of finding a static output feedback matrix is restated. The new formulation replaces the solution of a set of inversely coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algorithm is noniterative in linear matrix inequality (LMI) solutions. The algorithm may be used to prescribe a given degree of stability, while keeping the static output feedback gain small. Use of the algorithm is demonstrated via an example.

引用

页码：1493 / 1496

页数：4

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