Bounded Disturbance Amplification for Mass Chains with Passive Interconnection

Kaoru Yamamoto, Malcolm C. Smith

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


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.

Original languageEnglish
Article number7258335
Pages (from-to)1565-1574
Number of pages10
JournalIEEE Transactions on Automatic Control
Issue number6
Publication statusPublished - Jun 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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