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A Passivity Measure Of Systems In Cascade Based On Passivity Indices Han Yu and Panos J. Antsaklis
 

Summary: A Passivity Measure Of Systems In Cascade Based On Passivity Indices
Han Yu and Panos J. Antsaklis
Abstract-- Passivity indices are defined in terms of an excess
or shortage of passivity, and they have been introduced in
order to extend the passivity-based stability conditions to more
general cases for both passive and non-passive systems. While
most of the work on passivity-based stability results in the
literature focuses on employing the feedback interconnection of
passive or non-passive systems, our results focus on a passivity
measure for cascade interconnection. In this paper, we revisit
the results on secant criterion from the perspective of passivity
indices and we show how to use the secant criterion to measure
the excess/shortage of passivity for cascaded Input Strictly
Passive/Output Strictly Passive systems; we also propose a
method to measure passivity for cascaded dissipative systems,
where each subsystem could be passive or non-passive. Fur-
thermore, we study the conditions under which the cascade
interconnection can be directly stabilized via output feedback.
I. Introduction
In the early 1970's, Willems[8] introduced passivity(and

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering