Linearization of switched non-linear systems

被引:3
作者
Yuan, Yanyan [1 ]
Qiao, Yupeng [1 ]
Cheng, Daizhan [1 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Lab Syst & Control, Inst Syst Sci, Beijing 100080, Peoples R China
关键词
Lie derivative; quotient vector field; semi-tensor product of matrices; singular state feedback; state feedback linearization; switched non-linear system; NONREGULAR FEEDBACK LINEARIZATION; LYAPUNOV FUNCTIONS; STABILITY; STABILIZATION; CONTROLLABILITY; REACHABILITY; DESIGN;
D O I
10.1177/0142331208095431
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 static state feedback linearization of switched non-linear systems is investigated. First, we consider the regular state feedback linearization. In this case, the single-input switched system is considered first. A necessary and sufficient condition is provided, which contains an uncertain single variable function. Then the result is extended to a multiple input case. Secondly, the problem of non-regular static state feedback linearization is considered. Using semi-tensor product, some easily verifiable sufficient conditions are obtained. Then some examples are presented to illustrate the linearization process.
引用
收藏
页码:677 / 705
页数:29
相关论文
共 31 条
[1]   Lie-algebraic stability criteria or switched systems [J].
Agrachev, AA ;
Liberzon, D .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) :253-269
[2]  
[Anonymous], 2002, MATRIX POLYNOMIAL AP
[3]  
Boothby W. M., 1986, An introduction to differential manifolds and riemannian geometry
[4]  
Cheng D., 2005, IEEE T AUTOMAT CONTR, V50, P1224
[5]   Accessibility of switched linear systems [J].
Cheng, Daizhan ;
Lin, Yuandan ;
Wang, Yuan .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (09) :1486-1491
[6]   On quadratic Lyapunov functions [J].
Cheng, DZ ;
Guo, L ;
Huang, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :885-890
[7]   DESIGN FOR NONINTERACTING DECOMPOSITION OF NONLINEAR-SYSTEMS [J].
CHENG, DZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (11) :1070-1074
[8]   Non-regular feedback linearization of nonlinear systems via a normal form algorithm [J].
Cheng, DZ ;
Hu, XM ;
Wang, YZ .
AUTOMATICA, 2004, 40 (03) :439-447
[9]   Controllability of switched bilinear systems [J].
Cheng, DZ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (04) :511-515
[10]   Stabilization of planar switched systems [J].
Cheng, DZ .
SYSTEMS & CONTROL LETTERS, 2004, 51 (02) :79-88