Stability region estimates for SDRE controlled systems using sum of squares optimization

被引：0
|
作者：
Seiler, P [1 ]
机构：
[1] Univ Illinois, Dept Mech & Ind Engn, Urbana, IL 61801 USA
来源：
PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2003年
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D O I：
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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 this paper, we investigate the State-Dependent Riccati Equation method to control nonlinear systems. This method stabilizes the closed loop system around the origin. However, global asymptotic stability is not ensured. Moreover, stability analysis is complicated because the closed loop system is typically not known in a closed form. We present a theorem that turns stability region estimation into a functional search problem. Results on sum of squares polynomials are used to turn this search into a semidefinite programming problem. A simple example demonstrating this method is given.
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页码：1867 / 1872
页数：6
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