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Analysis and control synthesis of continuous-time passive switched linear systems

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3 Author(s)
José C. Geromel ; School of Electrical and, Computer Engineering, University of Campinas, Brazil ; Patrizio Colaneri ; Paolo Bolzern

Passivity is one of the key concepts related to LTI systems. Passive systems are not only stable but they are intrinsically robustly stable with respect to a wide class of feedback disturbance. Passivity can be characterized either in time domain or in frequency domain from positive realness. This paper aims to generalize this concept to continuous-time switched linear systems. Analysis is performed by taking into account state dependent and arbitrary time dependent switching function with a prescribed dwell time. A control design problem related to the determination of a switching strategy, based upon output measurements, that renders a switched linear system passive is also considered. A simple example of passivation by means of a switching function illustrates the theoretical results.

Published in:

Electrical and Electronics Engineers in Israel (IEEEI), 2010 IEEE 26th Convention of

Date of Conference:

17-20 Nov. 2010