Model reduction of synchronized homogeneous Lur'e networks with incrementally sector-bounded nonlinearities

Xiaodong Cheng (Corresponding author), Jacquelien M.A. Scherpen, Fan Zhang

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

3 Citaten (Scopus)
3 Downloads (Pure)

Samenvatting

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.

Originele taal-2Engels
Pagina's (van-tot)11-19
Aantal pagina's9
TijdschriftEuropean Journal of Control
Volume50
Vroegere onlinedatum6 jun 2019
DOI's
StatusGepubliceerd - nov 2019

Vingerafdruk Duik in de onderzoeksthema's van 'Model reduction of synchronized homogeneous Lur'e networks with incrementally sector-bounded nonlinearities'. Samen vormen ze een unieke vingerafdruk.

Citeer dit