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DOI: 10.1109/tac.2015.2478126

Bounded Disturbance Amplification for Mass Chains with Passive Interconnection

CAS-2 JCR-Q1 SCIE EI
Kaoru YamamotoMalcolm C. Smith
IEEE Transactions on Automatic Control
Jun 2016
摘要
This paper introduces the problem of passive control of a chain of $N$ identical masses in which there is an identical passive connection between neighbouring masses and a similar connection to a movable point. The problem arises in the design of multi-storey buildings which are subjected to earthquake disturbances, but applies in other situations, for example vehicle platoons. The paper studies the scalar transfer functions from the disturbance to a given intermass displacement. It is shown that these transfer functions can be conveniently represented in the form of complex iterative maps and that these maps provide a method to establish boundedness in $N$ of the ${\mathcal H}_{\infty}$ -norm of these transfer functions for certain choices of interconnection impedance.
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