Static Output Feedback Control for Switched Linear Systems via State-dependent Switching

被引:0
作者
Zhou Qiang [1 ,2 ]
Fei Shumin [1 ]
Wang Ruihua [1 ]
机构
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
来源
2013 32ND CHINESE CONTROL CONFERENCE (CCC) | 2013年
关键词
switched linear systems; static output feedback; state-dependent switching; SVD; LMIs; H-INFINITY PERFORMANCE; LYAPUNOV FUNCTIONS; STABILIZATION; STABILIZABILITY; STABILITY;
D O I
暂无
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, the static output feedback (SOF) control problem is addressed for continuous-time switched linear systems. Firstly, a output-dependent switching rule is designed via the singular value decomposition (SVD) approach, a sufficient condition under which the considered system is asymptotically stable is derived. Then, the synthesis problem is presented and a SOF controller can be given. All the conditions are expressed in terms of linear matrix inequalities (LMIs), which can be easily checked by using recently developed algorithms in solving LMIs. Finally, a numerical example is provided to demonstrate the correctness and effectiveness of the obtained results.
引用
收藏
页码:2042 / 2046
页数:5
相关论文
共 22 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]  
ARTSTEIN Z, 1996, LECT NOTES COMPUTER, V1066, P173
[3]  
Bara G. I., 2007, P 46 IEEE C DEC CONT, P4986
[4]   Static output feedback stabilization with H∞ performance for linear discrete-time systems [J].
Bara, GL ;
Boutayeb, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :250-254
[5]   A survey of computational complexity results in systems and control [J].
Blondel, VD ;
Tsitsiklis, JN .
AUTOMATICA, 2000, 36 (09) :1249-1274
[6]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[7]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[8]   Sufficient LMI conditions for output feedback control problems [J].
Crusius, CAR ;
Trofino, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :1053-1057
[9]  
Ding DW, 2010, INT J CONTROL AUTOM, V8, P220, DOI [10.1007/S12555-010-0206-8, 10.1007/s12555-010-0206-8]
[10]   Hybrid static output feedback stabilization of second-order linear time-invariant systems [J].
Hu, B ;
Zhai, GS ;
Michel, AN .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :475-485