TY - JOUR
T1 - Intermittent phenomena in switched systems with high coupling strengths
AU - Chen, Qingfei
AU - Hong, Yiguang
AU - Chen, Guanrong
AU - Hill, David J.
N1 - Funding Information:
Manuscript received August 9, 2005; revised May 7, 2006. This work was supported by the National Natural Science Foundation of China under Grant 60425307, Grant 50595411, Grant 10472129, and Grant 60221301. This paper was recommended by Associate Editor C. T. Lin. Q. Chen is with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287 USA (e-mail: [email protected]). Y. Hong is with the Institute of Systems Science, Chinese Academy of Sciences, Beijing 10080, China (e-mail: [email protected]). G. Chen is with the Department of Electronic Engineering, City University of Hong Kong, Hong Kong (e-mail: [email protected]). D. J. Hill is with the Department of Information Engineering, Australian National University, Canberra ACT 0200, Australia (e-mail: [email protected]. au). Digital Object Identifier 10.1109/TCSI.2006.883867
PY - 2006/12
Y1 - 2006/12
N2 - In this paper, one kind of intermittency generated by a discontinuous system is studied. Although this system, which is composed of two switched subsystems coupled with a high strength, is nonsmooth, the mechanism of this kind of intermittency can be analyzed with several explicit relations between the intermittency characteristics and the system control parameters. In particular, estimates of "steady-state" values of the system (in the laminar phases) and a critical value for this intermittency can be derived, which are helpful in relevant control systems design. Moreover, some power laws for the observed intermittency are obtained and discussed.
AB - In this paper, one kind of intermittency generated by a discontinuous system is studied. Although this system, which is composed of two switched subsystems coupled with a high strength, is nonsmooth, the mechanism of this kind of intermittency can be analyzed with several explicit relations between the intermittency characteristics and the system control parameters. In particular, estimates of "steady-state" values of the system (in the laminar phases) and a critical value for this intermittency can be derived, which are helpful in relevant control systems design. Moreover, some power laws for the observed intermittency are obtained and discussed.
KW - Discontinuous system
KW - Intermittency
KW - Power law
KW - Transverse stability
UR - http://www.scopus.com/inward/record.url?scp=33845806959&partnerID=8YFLogxK
U2 - 10.1109/TCSI.2006.883867
DO - 10.1109/TCSI.2006.883867
M3 - Article
AN - SCOPUS:33845806959
SN - 1057-7122
VL - 53
SP - 2692
EP - 2704
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
IS - 12
ER -