Disturbance Attenuation in Mass Chains with Passive Interconnection

This thesis is concerned with disturbance amplification in interconnected systems which may consist of a large number of elements. The main focus is on passive control of a chain of interconnected masses where a single point is subject to an external disturbance. The problem arises in the design of multi-storey buildings subjected to earthquake disturbances, but applies in other situations such as bidirectional control of vehicle platoons. It is shown that the scalar transfer functions from the disturbance to a given intermass displacement can be represented as a complex iterative map. This description is used to establish uniform boundedness of the \mathcal{H}_\infty-norm of these transfer functions for certain choices of interconnection impedance. A graphical method for selecting an impedance such that the \mathcal{H}_\infty-norm is no greater than a prescribed value for an arbitrary length of the mass chain is given. A design methodology for a fixed length of the mass chain is also provided. A case study for a 10-storey building model demonstrates the validity of this method.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2016

Author dc:creator

• Yamamoto, Kaoru

Advisor dc:contributor.advisor

• Smith, Malcolm C.

• Interconnected dynamical systems
• Mechanical networks
• Disturbance rejcetion
• Vibration control
• Complex iterative maps
• Passivity

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/98618030-1d27-427e-a21d-8233611d291b/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

en

Author Identifier

0000-0003-1888-3529

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/279020