Polynomial feedback and observer design using nonquadratic Lyapunov functions

被引：0
|
作者：
Ebenbauer, Christian [1 ]
Renz, Jonathan [1 ]
Allgower, Frank [1 ]
机构：
[1] Univ Stuttgart, Inst Syst Theory Engn, D-7000 Stuttgart, Germany
来源：
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In polynomial state feedback and observer design, it is often assumed that the corresponding Lyapunov functions are quadratic. This assumption allows to. guarantee global stability and to use semidefinite programming and the sum of squares decomposition. In the present paper, state feedback and observer design strategies based on semidefinite programming and the sum of squares decomposition are proposed which can deal with nonquadratic Lyapunov functions without jeopardizing global stability. In particular, homogeneous Lyapunov functions and generalized Krasovskii-type Lyapunov functions are studied for state feedback design and Lyapunov functions which are nonquadratic with respect to the control system output are studied for observer design.
引用
收藏
页码：7587 / 7592
页数：6
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