Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12592
Title: Discrete-time modeling and stability analysis of periodic orbits with sliding for switched linear systems
Authors: Zhao, Y
Feng, J
Tse, CK 
Keywords: Discrete-time mapping
sliding
stability
switched linear systems (SLSs)
Issue Date: 2010
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on circuits and systems. I, Regular papers, 2010, v. 57, no. 11, 5491103, p. 2948-2955 How to cite?
Journal: IEEE transactions on circuits and systems. I, Regular papers 
Abstract: This paper establishes a discrete-time model and presents an exact method of stability analysis for periodic orbits containing a segment of sliding orbit for switched linear systems. Sliding dynamical equations are obtained by using Utkin's equivalent control method. Sliding mapping and impact mapping are obtained by solving the respective differential equations. A generalized discrete-time mapping for a cycle is derived for three operating scenarios. The coordinates of the periodic orbit points, inflow and outflow sliding regions, and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for a third-order relay-feedback system and a second-order autonomous oscillating circuit are presented to illustrate the proposed model and method.
URI: http://hdl.handle.net/10397/12592
ISSN: 1549-8328 (print)
1558-0806 (online)
DOI: 10.1109/TCSI.2010.2050230
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