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Article Dans Une Revue IEEE Control Systems Letters Année : 2024

Passivity of linear singularly perturbed systems

Résumé

The passivity of singularly perturbed systems (SPSs) is generally studied without taking advantage of the time-scale separation present in this class of systems. To fill this gap, the objective of this letter is to provide easy to verify well-posed conditions characterizing the passivity of a perturbation variable-dependent SPS starting from the passivity of its associated reduced order system. To achieve this goal, we rely on the connection between positive realness and passivity, as well as the notion of phase for multi-input multi-output (MIMO) systems. We use a benchmark DC motor to illustrate that classical reasoning used for stability analysis of SPSs, which is based on the stability of the reduced-order (slow) and boundary layer (fast) subsystems, cannot be applied to guarantee the passivity of an SPS. On top of that, our methodology explains how the time-scale separation can be used to analyze the passivity of general linear time invariant (LTI) systems. The approach is illustrated on a numerical example.
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Dates et versions

hal-04577287 , version 1 (31-05-2024)

Identifiants

Citer

Mircea Șușcă, Vlad Mihaly, Zsófia Lendek, Irinel-Constantin Morărescu. Passivity of linear singularly perturbed systems. IEEE Control Systems Letters, In press, ⟨10.1109/LCSYS.2024.3404337⟩. ⟨hal-04577287⟩
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