Structured model reduction of interconnected linear systems based on singular perturbation

• This paper proposes a singular perturbation approximation that preserves system passivity and an interconnection topology among subsystems. In the first half of this paper, we develop a singular perturbation approximation valid for stable linear systems. Using the relation between the singular perturbation and the reciprocal transformation, we derive a tractable expression of the error system in the Laplace domain, which provides a novel insight to regulate the approximating quality of reduced models. Then in the second half, we develop a structured singular perturbation approximation that focuses on a class of interconnected systems. This structured approximation provides a reduced model that not only possesses fine approximating quality, but also preserves the original interconnection topology and system passivity.

Nyckelord

Error systems

Interconnection topologies

Laplace domains

Reduced model

Singular perturbation approximation

Singular perturbations

Stable linear systems

Structured model

Linear systems

Topology

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