DocumentCode
581600
Title
Nonlinear robust control: An SOS — Based approach
Author
Wenchao, Huang ; Hongfei, Sun ; Jianping, Zeng
Author_Institution
Dept. of Autom., Xiamen Univ., Xiamen, China
fYear
2012
fDate
25-27 July 2012
Firstpage
542
Lastpage
546
Abstract
This paper presents a method for the analysis and control design of polynomial nonlinear systems in the presence of uncertainty and external disturbance. Based on the sum of squares (SOS) technique, sufficient conditions for robust stabilization without and with H∞ performance via state feedback are formulated in terms of state dependent linear matrix inequalities (LMIs). Such convex conditions can be solved by semidefinite programming relaxations based on the SOS programming, by which the obstacle in solving Hamilton-Jacobi Equations/Inequalities (HJEs/HJIs) disappear. A numerical example is presented to illustrate the effectiveness of the approach.
Keywords
Closed loop systems; Nonlinear systems; Polynomials; Programming; Robust control; Robustness; State feedback; H∞ performance; nonlinear; robust stabilization; sum of squares;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2012 31st Chinese
Conference_Location
Hefei, China
ISSN
1934-1768
Print_ISBN
978-1-4673-2581-3
Type
conf
Filename
6389988
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