QUADRATIC STABILIZABILITY FOR POLYTOPIC UNCERTAIN SWITCHED LINEAR SYSTEMS VIA SWITCHED OBSERVER

被引:6
作者
Soga, T. [1 ]
Otsuka, N. [2 ]
机构
[1] Tokyo Denki Univ, Grad Sch Adv Sci & Technol, Hatayama, Saitama 3500394, Japan
[2] Tokyo Denki Univ, Sch Sci & Engn, Div Sci, Hatayama, Saitama 3500394, Japan
关键词
Switched linear systems; quadratic stabilizability; polytopic uncertain systems; switched observer; STABILITY; DESIGN; STABILIZATION;
D O I
10.1002/asjc.766
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 study a quadratic stabilizability problem via switched observer for uncertain continuous-time switched linear systems in the sense that the subsystem's matrices are represented as a polytopic linear combination of vertex matrices. Firstly, sufficient conditions for polytopic uncertain continuous-time switched linear systems to be quadratically stabilizable via state feedback are summarized. Next, sufficient conditions for polytopic uncertain switched linear systems to be quadratically stabilizable via switched observer are given under the assumption that output matrices of subsystems have no uncertainties. Further, a numerical example is also investigated.
引用
收藏
页码:1020 / 1028
页数:9
相关论文
共 23 条
[1]  
Almér S, 2007, P AMER CONTR CONF, P447
[2]  
[Anonymous], 2002, Hybrid Dynamical Systems, Controller and Sensor Switching Problems
[3]  
Beccuti A. G., 2007, 2007 American Control Conference, P5464, DOI 10.1109/ACC.2007.4282799
[4]  
BRANICKY MS, 1994, IEEE DECIS CONTR P, P3498, DOI 10.1109/CDC.1994.411688
[5]   A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].
Dayawansa, WP ;
Martin, CF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760
[6]   Switched affine systems control design with application to DC-DC converters [J].
Deaecto, G. S. ;
Geromel, J. C. ;
Garcia, F. S. ;
Pomilio, J. A. .
IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (07) :1201-1210
[7]  
Feron E., 2010, CICSP468 MIT, P1
[8]   Stability and stabilization of discrete time switched systems [J].
Geromel, JC ;
Colaneri, P .
INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) :719-728
[9]   On the stability of switched positive linear systems [J].
Gurvits, L. ;
Shorten, R. ;
Mason, O. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :1099-1103
[10]  
Horn R.A., 2012, Matrix Analysis