TY - JOUR
T1 - Model reduction of synchronized homogeneous Lur'e networks with incrementally sector-bounded nonlinearities
AU - Cheng, Xiaodong
AU - Scherpen, Jacquelien M.A.
AU - Zhang, Fan
PY - 2019/11
Y1 - 2019/11
N2 - This paper proposes a model order reduction scheme that reduces the complexity of diffusively coupled homogeneous Lur'e systems. We aim to reduce the dimension of each subsystem and meanwhile preserve the synchronization property of the overall network. Using the Laplacian spectral radius, we characterize the robust synchronization of the Lur'e network by a linear matrix inequality (LMI), whose solutions then are treated as generalized Gramians for the balanced truncation of the linear component of each Lur'e subsystem. It is verified that, with the same communication topology, the resulting reduced-order network system is still robustly synchronized, and an a priori bound on the approximation error is guaranteed to compare the behaviors of the full-order and reduced-order Lur'e subsystems.
AB - This paper proposes a model order reduction scheme that reduces the complexity of diffusively coupled homogeneous Lur'e systems. We aim to reduce the dimension of each subsystem and meanwhile preserve the synchronization property of the overall network. Using the Laplacian spectral radius, we characterize the robust synchronization of the Lur'e network by a linear matrix inequality (LMI), whose solutions then are treated as generalized Gramians for the balanced truncation of the linear component of each Lur'e subsystem. It is verified that, with the same communication topology, the resulting reduced-order network system is still robustly synchronized, and an a priori bound on the approximation error is guaranteed to compare the behaviors of the full-order and reduced-order Lur'e subsystems.
KW - Balanced truncation
KW - Lur'e system
KW - Model reduction
KW - Network synchronization
UR - http://www.scopus.com/inward/record.url?scp=85067295713&partnerID=8YFLogxK
U2 - 10.1016/j.ejcon.2019.06.001
DO - 10.1016/j.ejcon.2019.06.001
M3 - Article
AN - SCOPUS:85067295713
SN - 0947-3580
VL - 50
SP - 11
EP - 19
JO - European Journal of Control
JF - European Journal of Control
ER -