On the equivalence of switched affine models and switched ARX models

被引:15
作者
Weiland, S. [1 ]
Juloski, A. Lj. [1 ]
Vet, B. [1 ]
机构
[1] Eindhoven Univ Technol, Dept Elect Engn, Control Syst Grp, NL-5600 MB Eindhoven, Netherlands
来源
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年
关键词
D O I
10.1109/CDC.2006.376846
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper proves the formal equivalence between the class of switched affine systems and the class of switched autoregressive systems with exogenous inputs. These, classes of hybrid dynamical systems have been studied recently for various purposes. It is shown that any observable switched affine system admits a representation as a switched autoregressive system and every switched autoregressive system admits a representation as a switched affine system.
引用
收藏
页码:2614 / 2618
页数:5
相关论文
共 19 条
[11]  
HEEMELS WPM, 2001, EQUIVALENCE CLASSES
[12]   Computation of piecewise quadratic Lyapunov functions for hybrid systems [J].
Johansson, M ;
Rantzer, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :555-559
[13]   A Bayesian approach to identification of hybrid systems [J].
Juloski, AL ;
Weiland, S ;
Heemels, WPMH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (10) :1520-1533
[14]  
Juloski AL, 2005, LECT NOTES COMPUT SC, V3414, P354
[15]  
LAZAR M, 2005, INT WORKSH ASS FUT D, P327
[16]  
Ma Y, 2005, LECT NOTES COMPUT SC, V3414, P449
[17]   Identification of piecewise affine systems via mixed-integer programming [J].
Roll, J ;
Bemporad, A ;
Ljung, L .
AUTOMATICA, 2004, 40 (01) :37-50
[18]   Realisation and estimation of piecewise-linear output-error models [J].
Rosenqvist, F ;
Karlström, A .
AUTOMATICA, 2005, 41 (03) :545-551
[19]   The complementary-slackness class of hybrid systems [J].
van der Schaft, AJ ;
Schumacher, JM .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1996, 9 (03) :266-301