Clustered model reduction of interconnected second-order systems

Block oriented model order reduction of interconnected systems

SUMMARY Unintended and parasitic coupling effects are becoming more relevant in currently designed, small-scale/high-frequency RFICs. Electromagnetic (EM) based procedures must be used to generate accurate models for proper verification of system behaviour. But these EM methodologies may take advantage of structural subsystem organization as well as information inherent to the IC physical layou...

6 Model Reduction of Second - Order Systems

Model reduction of second order systems

where the matrix M ∈ RN×N is assumed to be invertible. Models of mechanical systems are often of this type since (1.1) then represents the equation of motion of the system. For such a system M = MT , C = CT and K = KT are respectively the mass, damping and stiffness matrices, f(t) ∈ RN×1 is the vector of external forces, and x(t) ∈ RN×1 is the vector of internal generalized coordinates (see [4]...

Model reduction of interconnected systems

Large scale linear systems are often composed of subsystems that interconnect to each other. Instead of reducing the entire system without taking into account its structure, it makes sense to reduce each subsystem (or a few of them) by taking into account its interconnection with the others subsystems in order to approximate the entire system. This is the purpose of this paper. Interconnected (...

Model reduction of interconnected linear systems

The problem of model reduction of linear systems with certain interconnection structure is considered in this paper. To preserve the interconnection structure between subsystems in the reduction, special care needs to be taken. This problem is important and timely because of the recent focus on complex networked systems in control engineering. Two different model-reduction methods are introduce...