CUED Publications database

Bounded Disturbance Amplification for Mass Chains with Passive Interconnection

Yamamoto, K and Smith, MC (2015) Bounded Disturbance Amplification for Mass Chains with Passive Interconnection. IEEE Transactions on Automatic Control, 61. pp. 1565-1574. ISSN 0018-9286

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© 1963-2012 IEEE. 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 H∞-norm of these transfer functions for certain choices of interconnection impedance.

Item Type: Article
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 09 Jan 2018 02:09
Last Modified: 09 Sep 2021 00:58
DOI: 10.1109/TAC.2015.2478126