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Mass chains with passive interconnection: Complex iterative maps and scalability

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2 Author(s)
Yamamoto, K. ; Dept. of Eng., Univ. of Cambridge, Cambridge, UK ; Smith, M.C.

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.

Published in:

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Date of Conference:

10-13 Dec. 2013