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A finite-time generalized H2 gain measure and its performance criterion

  • School of Astronautics, Harbin Institute of Technology
  • Department of Systems Engineering

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

Abstract

In this paper, the performance measure problem is considered for a linear time-varying system with non-zero initials and bounded external disturbance in a finite-time horizon. A finite-time generalized H2 gain is proposed which is defined as a ratio of the maximal penalty output and the sum of the energy of the exogenous input and nonzero initial conditions in a finite time interval. The finite-time generalized H2 gain proposed can be used as a performance metric of such a class of systems in the worst-case which are not required to be stable and with zero initials. We proved several properties of the proposed finite-time generalized H2 gain and its performance criterion is also proved. The computation of the finite-time generalized H 2 gain is then treated. We also provide an application and simulation results of the proposed finite-time generalized H2 gain measure.

Original languageEnglish
Title of host publication2013 9th Asian Control Conference, ASCC 2013
DOIs
StatePublished - 2013
Event2013 9th Asian Control Conference, ASCC 2013 - Istanbul, Turkey
Duration: 23 Jun 201326 Jun 2013

Publication series

Name2013 9th Asian Control Conference, ASCC 2013

Conference

Conference2013 9th Asian Control Conference, ASCC 2013
Country/TerritoryTurkey
CityIstanbul
Period23/06/1326/06/13

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