一种考虑时滞的结构显式最优控制方法

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中图分类号：O328；TB114.2 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202309033

Abstract：Time-delayhassignificantinfluenceontheperformanceofcontrolsystemsandthestabilityofcontroledstructures， which，toacertaindegee，imitstheapplicatioofactivecontroltecnquesinpracticalengineering.Althoughtetidelayclas sicaloptimalcontrolmethdcanconsidertheinfuenceoftime-delay，thetimedelayproblemnedstobetransformedintodelay freeproblemthrough introducinganaugmentedstatevectorasociatedwiththecontrolforces withinthetime-delayinterval.There fore，theaugmentedRiccatiequationneedstobesolved，leadingtoalargeamountofcomputationalcostforthedesignofcotrol law.This paperisdevoted todevelopingatime-delayexplicitoptimalcontrolmethodof structures.Theexplicittie-domainexpresionsofdynamicresponsesarefrstestablishedforthesystemwithtime-delaycontrol.Onthisbasis，thetimedelayexplicitoptimalcontrollawcanbeanalyticallyderivedfromanunconstrainedlinearquadraticoptimizationproblem.Astheefectoftime-de laycontrolforceonstructuraldynamicresponsescanbereadilyconsideredwiththeaidoftheexplicittimedomainformulation，the time-delayexplicitoptimalcontrollawcanbederivedwithoutaugmentedtreatmentofthestatevectorandsolvingoftheRiccati equation.Anumericalexampleinvolvingathrestoreysheartypestructurewithanactivecontrolersubjectedtoseismicexcitation is presented to investigate the effect of time-delay and validate the feasibility of the proposed method.

Keywords： time-delay；active control;classical optimal control;explicit optimal control

自1972年YAO提出结构控制概念以来，理论和试验研究表明，主动控制是提升结构抗震和抗风等性能的理想方法[2]。（剩余12962字）