DocumentCode :
3169728
Title :
Simultaneous Stabilization and Robust Control for Polynomial Nonlinear Systems Using SOS
Author :
Xu, Jun ; Xie, Lihua ; Wang, Youyi
Author_Institution :
Nanyang Technol. Univ., Singapore
fYear :
2007
fDate :
9-13 July 2007
Firstpage :
5384
Lastpage :
5389
Abstract :
In this paper, we discuss the simultaneous stabilization and robust control for a class of polynomial systems. By employing state-dependent polynomial Lyapunov functions, sufficient conditions for stabilization with and without Hinfin performance are presented. These conditions can be verified by the recently developed technique named as sum of squares (SOS), which essentially is an LMI feasibility problem.
Keywords :
Hinfin control; Lyapunov methods; linear matrix inequalities; nonlinear control systems; polynomials; robust control; Hinfin control; LMI; polynomial nonlinear systems; robust control; simultaneous stabilization; state-dependent polynomial Lyapunov functions; Bismuth; Cities and towns; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Robust control; Sufficient conditions; Uncertain systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
ISSN :
0743-1619
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2007.4282769
Filename :
4282769
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3169728
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