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Mass chains with passive interconnection: Complex iterative maps and scalability

Yamamoto, K and Smith, MC (2013) Mass chains with passive interconnection: Complex iterative maps and scalability. Proceedings of the IEEE Conference on Decision and Control. pp. 37-42. ISSN 0191-2216

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Abstract

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 will study the scalar transfer functions from the disturbance to a given intermass displacement. It will be 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. © 2013 IEEE.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:16
Last Modified: 10 Aug 2017 01:37
DOI: