TY - JOUR
T1 - Discrete-Time Modeling and Stability Analysis of Periodic Orbits With Sliding for Switched Linear Systems
AU - Zhao, Yibo
AU - Feng, Jiuchao
AU - Tse, Chi K.
PY - 2010/11
Y1 - 2010/11
N2 - 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. © 2006 IEEE.
AB - 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. © 2006 IEEE.
KW - Discrete-time mapping
KW - sliding
KW - stability
KW - switched linear systems (SLSs)
UR - http://www.scopus.com/inward/record.url?scp=78149464532&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-78149464532&origin=recordpage
U2 - 10.1109/TCSI.2010.2050230
DO - 10.1109/TCSI.2010.2050230
M3 - RGC 21 - Publication in refereed journal
SN - 1549-8328
VL - 57
SP - 2948
EP - 2955
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
IS - 11
M1 - 5491103
ER -