Nonpathological sampling of switched linear systems

被引：10
作者：
Babaali, M [1 ]
Egerstedt, M
机构：
[1] MathWorks Inc, Natick, MA 01760 USA
[2] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 12期
基金：
美国国家科学基金会;
关键词：
observability; sampling; switched linear systems;
D O I：
10.1109/TAC.2005.861713
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the conservation of observability after sampling for the class of switched linear systems with no inputs and switching in the measurement equation only. Using van der Waerden's Theorem, a classic result from Ramsey Theory, we give a sufficient condition on the components of the resulting discretized switched linear system for it to be observable under arbitrary switching sequences. This preliminary result then enables us to extend the Kalman-Bertram criterion for nonpathological sampling to the class of switched linear systems under consideration.
引用
收藏
页码：2102 / 2105
页数：4
相关论文
共 29 条
[1]  
Babaali M, 2005, LECT NOTES COMPUT SC, V3414, P103
[2]   A direct algebraic approach to observer design under switching measurement equations [J].
Babaali, M ;
Egerstedt, M ;
Kamen, EW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (11) :2044-2049
[3]  
Babaali M, 2004, LECT NOTES COMPUT SC, V2993, P48
[4]  
Babaali M, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P5771
[5]  
BABAALI M, 2004, P 2004 AM CONTR C BO
[6]  
BALLUCHI A, 2003, P 42 IEEE C DEC CONT
[7]   Observability and controllability of piecewise affine and hybrid systems [J].
Bemporad, A ;
Ferrari-Trecate, G ;
Morari, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (10) :1864-1876
[8]  
Chen T, 1995, OPTIMAL SAMPLED DATA
[9]  
COLLINS P, 2004, SER HYBRID SYSTEMS C
[10]  
COLLINS P, 2004, P 43 IEEE C DEC CONT
123