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Title: Symbolic analysis of switching systems : application to bifurcation analysis of DC/DC switching converters
Authors: Dai, D
Tse, CKM 
Ma, X
Issue Date: Aug-2005
Source: IEEE transactions on circuits and systems. I, Regular papers, Aug. 2005, v. 52, no. 8, p. 1632-1643
Abstract: A symbolic method is proposed in this paper for analyzing the bifurcation behavior of switching nonsmooth systems. The proposed method focuses on the symbolic sequence describing the topological change of the system which characterizes its bifurcation behavior. The concept of block sequence is first introduced. Based on the block sequence, the smoothness of the Poincaré map is described. Moreover, two main theorems are given to detect border collision and standard bifurcations. Finally, a specific example of the buck switching converter is presented to illustrate the application of the proposed symbolic analysis method. Using the proposed method, two-dimensional (2-D) bifurcation diagrams, which can assist engineers in identifying regions of preferred or undesired operations in the select parameter space, can be easily obtained.
Keywords: Bifurcation
Border collision
Nonsmooth system
Switching converter
Symbolic analysis
Symbolic sequence
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on circuits and systems. I, Regular papers 
ISSN: 1549-8328
EISSN: 1558-0806
DOI: 10.1109/TCSI.2005.852029
Rights: © 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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