Bounded Disturbance Amplification for Mass Chains with Passive Interconnection
IEEE Transactions on Automatic Control
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Yamamoto, K., & Smith, M. (2016). Bounded Disturbance Amplification for Mass Chains with Passive Interconnection. IEEE Transactions on Automatic Control, 61 (6), 1565-1574. https://doi.org/10.1109/TAC.2015.2478126
© 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.
External DOI: https://doi.org/10.1109/TAC.2015.2478126
This record's URL: https://www.repository.cam.ac.uk/handle/1818/250364