Passivity test of immittance descriptor systems based on generalized Hamiltonian methods

Authors:
Zheng Zhang;Ngai Wong
Affiliations:
Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong;Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2010

Citing 4
Cited 3

Singular Control Systems

Singular Control Systems
Algebraic Characterizations for Positive Realness of Descriptor Systems

SIAM Journal on Matrix Analysis and Applications
GHM: a generalized Hamiltonian method for passivity test of impedance/admittance descriptor systems

Proceedings of the 2009 International Conference on Computer-Aided Design
PRIMA: passive reduced-order interconnect macromodeling algorithm

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

An efficient projector-based passivity test for descriptor systems

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A moment-matching scheme for the passivity-preserving model order reduction of indefinite descriptor systems with possible polynomial parts

Proceedings of the 16th Asia and South Pacific Design Automation Conference
Generalized eigenvalue passivity assessment of descriptor systems with applications to symmetric and singular systems

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Quantified Score

Hi-index	0.00

Visualization

Abstract

A generalized Hamiltonian method (GHM) and its half-size variant (HGHM) are proposed to characterize the spectral behaviors of descriptor systems (DSs). With the preprocess improper part test, GHM and HGHM can be applied to test the passivity of immittance (impedance or admittance) DSs without system decomposition, system index assumption, or minimal realization requirement, which are the major bottlenecks of existing algebraic DS passivity tests. The proposed method allows exact detection of nonpassive frequency intervals, which is not possible with frequency-sweeping techniques. Numerical results confirm the effectiveness of the proposed methods.