Computing output feedback controllers to enlarge the domain of attraction in polynomial systems

被引:86
作者
Chesi, G [1 ]
机构
[1] Univ Siena, Dept Informat Engn, I-53100 Siena, Italy
关键词
controller synthesis; domain of attraction; linear mattrix ineqaulity (LMI); Lyapunov function; polynomial systems;
D O I
10.1109/TAC.2004.835589
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 computing controllers to enlarge the domain of attraction (DA) of equilibrium points of polynomial systems is considered. In order to deal with such a problem, a technique for computing static nonlinear output feedback controllers, which maximize the largest estimate of the DA (LEDA) induced by a given polynomial Lyapunov function, is proposed. The main contribution of the note is to show that a lower bound of the maximum achievable LEDA and a corresponding controller can be obtained through linear matrix inequality optimizations. Moreover, a necessary condition for tightness of this lower bound is presented, which is also a sufficient condition to establish the tightness of the lower bound of the LEDA for a given controller.
引用
收藏
页码:1846 / 1850
页数:5
相关论文
共 12 条
[1]  
Bochnak J., 1998, Ergeb. Math. Grenzgeb., V36
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]   Solving quadratic distance problems: An LMI-based approach [J].
Chesi, G ;
Garulli, A ;
Tesi, A ;
Vicino, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (02) :200-212
[4]  
Chesi G, 2000, IEEE DECIS CONTR P, P1501, DOI 10.1109/CDC.2000.912071
[5]  
CHOI MD, 1995, P S PURE MATH 2, V58, P103, DOI 10.1090/pspum/058.2/1327293
[6]   ON THE ESTIMATION OF ASYMPTOTIC STABILITY REGIONS - STATE OF THE ART AND NEW PROPOSALS [J].
GENESIO, R ;
TARTAGLIA, M ;
VICINO, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (08) :747-755
[7]  
Hachicho O, 2002, IEEE DECIS CONTR P, P3150, DOI 10.1109/CDC.2002.1184354
[8]   Some controls applications of sum of squares programming [J].
Jarvis-Wloszek, Z ;
Feeley, R ;
Tan, WH ;
Sun, KP ;
Packard, A .
42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :4676-4681
[9]  
Khalil H. K., 2001, Nonlinear Systems, V3rd
[10]  
Parrilo PA, 2000, Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization