Efficient Newton method for optimal viscous dampers design

I. Halperin, G. Agranovich, Y. Ribakov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Passive control is a known method for vibrations damping in many mechanical systems, including civil structures. The simplicity and reliability of passive damping devices makes them a worthy candidate in many practical problems. However, despite of its practical simplicity, the optimal design of passive controller is quite hard computational problem. In this work, an enhanced optimal viscous passive dampers design method is proposed. The optimization is done with relation to performance index consists of ||H||2 system norm and quadratic gains norm. An algorithm is suggested for the look after a candidate optimum. It is based on Newton's optimization method with a new and effective calculation method for the Hessian matrix. Numerical tests of the suggested method shows a very fast convergence rate with relation to known ones.

Original languageEnglish
Title of host publication2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479959877
DOIs
StatePublished - 2014
Event2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014 - Eilat, Israel
Duration: 3 Dec 20145 Dec 2014

Publication series

Name2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014

Conference

Conference2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
Country/TerritoryIsrael
CityEilat
Period3/12/145/12/14

Keywords

  • Collocated control
  • Optimal static output feedback
  • Structural control
  • Viscous dampers

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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