Dynamic interpolation and application to flight control

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1、VOL.14,NO.4814J.GUIDANCEDynamicInterpolationandApplicationtoFlightControlJosephW.Jackson*Honeywell,Inc.,Glendale,Arizona85308andPeterE.CrouchtArizonaStateUniversity,Tempe,Arizona85287Tosimplifythespecificationofadesiredtrajectoryforsomesubsetofthevariablesofadynamiccontrolsystem,itmaybeadva

2、ntageoustodesignateasetofinterceptpointsthatthetrajectoryisrequiredtopassthrough.Thesystemcontrolscanthenbecomputedintermsofasplinefunctiontomeettheserequirementsfordynamicinterpolation.Optimizationofacostfunctionundercontinuityconstraintscanbeembeddedinthedeterminationofsplinecoefficientst

3、oobtaincertaindesirablegeometricpropertiesoftheresultingtrajectory.I.Introductioninformationtothepilot,navigation,andguidancesystemoverORCINGcertaindynamicvariablesofacontrolsystemawiderangeofcoverageintheterminalarea,thusmakingFtofollowadesiredpathofteninconjunctionwithancurved-pathandstee

4、p-descentapproachguidancepossible.optimizationroutineposesadifficultproblembothintheoryIntegrationofanFMScapableofgeneratingcurved-pathandpractice.ThemainmotivationofthispaperistosimplifyapproacheswiththeguidancecapabilityofMLSformsatheproblembynotinsistingthatthevariablesfollowanexactsyste

5、mthatcanadvancesignificantlytheATCcapacityandtrajectory,butinsteadtrackapathspecifiedonlyintermsofefficiency.Theintegratedsystemwouldprovideguidanceonaasetofinterceptpointsandcontinuityconstraints.Anadvan-curvedpathtotherunwayviaspecifiedapproachwaypointstageofthediscretelyspecifiedpathisth

6、atthesystemcontrolsandalsoacockpitdisplayofthepatherrortothepilot.Thismaybesegmentedbetweeninterceptpoints,allowingtheap-paperpresentsresultsofdynamicinterpolationappliedtotheplicationofpiecewise-continuouspolynomialstodefinetheaircraftapproachproblemwhereaircrafttotalaccelerationissegmentc

7、ontrol.Themethodofsplines,1'2commonlyusedinminimized,subjecttotheconstraintsthatthewaypointsarecomputer-aidedgeometricdesign(CAGD)todefinecurvesandintercepted,thefinalvelocityisspecified,andtheresultingsurfaces,canbeappliedtojointhesepolynomialsinanorga-