chapter 5. optimal linear output feedback control systems

《chapter 5. optimal linear output feedback control systems》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、5.1INTRODUCTIONInChapter3weconsideredthecontroloflinearsystemsdescribedbyastatedifferentialequationoftheformAnessentialpartofthetheoryofChapter3isthatitisassumedthatthecompletestatevectorx(t)isavailableformeasurementandfeedback.Inthischapterwerelaxthisassumptionandstudythemncl

2、imorerealisticcasewherethereisanobservedvariableoftheformwhichisavailableformeasurementandfeedback.Controlsystemswheretheobservedvariable?/servesasinputtothecontroller,andnotthestatex,willbecalledontplctfeedbockcontrolsjWms.InviewoftheresultsofChapter4,itisnotsurprisingthatthe

3、optimaloutputfeedbackcontrollerturnsouttobeacombinationofanobserker,tbroughwhichthestateofthesystemisreconstructed,andacontrollawwhichisaninstantaneous,linearfunctionofthereconstructedstate.Thiscontrollawisthesamecontrollawthatwouldhavebeenobtainedifthestatehadbeendirectlyavai

4、lableforobservation.InSection5.2weconsideradeterministicapproacbtotheoutputfeedbackproblemandweobtainregulatorstbroughacombinationofasymptoticallystableobserversandlinear,stabilizingcontrollaws.InSection5.3astochasticapproachistaken,andoptimallinearfeedbackregulatorsarederived

5、asinterconnectionsofoptimalobserversandoptimallinearstatefeedbacklaws.InSection5.4trackingproblemsarestudied.InSection5.5weconsiderregulatorsandtrackingsystemswitbnonzerosetpointsandconstantdisturbances.Section5.6concernsthesensitivityoflinearoptimalfeedbacksystemstodisturbanc

6、esandsystemvariations,whilethechapterconcludeswitbSection5.7,dealingwitbreduced-orderfeedbackcontrollers.378OptimnlLinearOutputFeedbackControlSystems5.2THEREGULATIONOFLINEARSYSTEMSWITHINCOMPLETEMEASUREMENTS5.2.1TheStructureofOutputFeedbackControlSystemsInthissectionwetakeadete

7、rministicapproachtotheproblemofregulatingalinearsystemwithincompletemeasurements.ConsiderthesystemdescribedbythestatedifferentialequationwhiletheobservedvariableisgivenbyInChapter3weconsideredcontrollawsoftheformwhereitwasassumedthatthewholestatex(t)canbeaccuratelymeasured.Ift

8、hestateisnotdirectlyavailableformeasurement,anaturalapproachi