A Review on Longitudinal Control Law Design for a Small Fixed-Wing UAV

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Key Words: Longitudinal;control;LQR;algorithmetc.

A Review on Longitudinal Control Law Design for a Small Fixed-Wing UAV E. Akshaya Sai Chandar Department of Aerospace, RV College of Engineering, Bangalore, Karnataka *** A longitudinal control strategy describes the altitude control in a cascade architecture, whose inner loop conveniently manoeuvres the pitch angle by acting on the symmetric flag deflection. Different technologies and theories are associated with developing the longitudinal control algorithm, such as Newton Euler formulation, LQR technology, multi model technique, root locus method, integral sliding mode control technique, etc. This paper describes the various techniques and the applications they have been used in. Thus, enabling one to analyse the effectiveness androbustness of the proposed control scheme.

Themostwidelyusedrootlocusmethodinengineeringhas beenused;itisalsoamatureclassicalcontroltheorydesign method.Thismethodcanselecttheappropriatesystemgain to produce a closed loop system with acceptable flight qualityandintroducepolesandzeros,realizepoleposition, and improve performance. Nowadays, more and more attention is paid to the rapid development of Unmanned Aerial Vehicles (UAVs) worldwide due to their potential applications in military and civilian fields, such as surveillance, target acquisition and tracking, weapon delivery,mapping,traffic,searchandrescue,etc.

1.INTRODUCTION

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ThetermUAVisanacronymforUnmannedAerialVehicle, i.e.,flyingvehiclesthatoperatewithoutahumanpilot.The militaryandpolicecommonlyuseUAVsinsituationswhere theriskofartificialaircraftisunacceptableorwherehuman crewedaircraftisnotpossible.Moreadvanceddronesused radio technology to guide themselves, allowing them to perform missions and return. They are constantly being controlledbyahumanpilotandcannotflyindependently. Moderndronesarecontrolledbyautonomousaircraftand humancontrollersatgroundstations.Thisallowsthemto makelong,unchallengingflightswithintheircontrolandfly underthecommandofahumanpilotduringcomplexstages of the mission. Research and development of unmanned aerial vehicles have increased in Indonesia over the past decade.TheapplicationofUAVshasmanyadvantages,which are aerial photography, surveillance and monitoring of disasterareas,andmilitarypurposessuchasborderpatrol and targeted autonomous attack. Since then, Indonesia's military and civilian authorities have recognized the importance of research in this area. The tricky part of the UAVdevelopmentprocesswasdesigninganddevelopinga flightcontrolsystemtoaccomplishthemissionandmaintain flight stability during various periods of turbulence. The existenceofanydisturbancecanreducethestabilityofthe flight. Flight performance decreases, and the mission becomes challenging to complete. Therefore, innovative control methods must be required to stabilize the drone under the pressure of different operating conditions, the kineticandpotentialenergychangesduringlanding.Drones arethemostvulnerableandaccident pronedevices.During a clean restore, they will face system failure and environmental interference. Therefore, it is necessary to designanideal recovery pointwithina specific rangeand ensure a reasonable collision angle. Therefore, precise guiding devices and guiding law have essential research valueand Currently,importance.standardguide equipment includes special equipment and radio communications. Due to operational complexity,costorotherlimitations,thesetechnologiesare unlikely to apply to small fixed wing UAVs. The Sierra Nevada's joint tactical auto landing and auto recovery systems use external tracking radar and radio to obtain relative position information. But they are too expensive. Thewidespreadapplicationsofdroneshaveraisedconcerns aboutreliabilityandrangeissues.Whileautonomouslyflying isnowconsideredamaturetechnology,autonomouslanding is much more difficult. It requires exact navigation and, above all, it involves switching flight stages, especially for fixed wingdrones.Duetotheadvantagesofsmallvolume, lightweight, flexibility, and low cost of unmanned aerial vehicles,UAVsarereceivingmoreandmorestronginterest worldwide.Themostsignificantdifferencebetweendrones and manned aircraft is the unmanned aerial vehicle; The aircraftfliesautomaticallyundertheinfluenceoftheflight controlsystem.Therefore,thedesignofthecontrollawof the flight control system is essential. The vertical motion controller of the fixed wing UAV has been designed. The mainfunctionsofverticalmotionare: (1) Climb to the given pitch angle, keeping the altitude stable;(2)Horizontal flight to a certain altitude, maintaining the flightaltitudeoftheUAV.

Abstract

International Research Journal of Engineering and Technology (IRJET) e ISSN: 2395 0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p ISSN: 2395 0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008

Inaddition,theflightcontrolsystem,whichisthecoreofthe UAV, determines the performance of the UAV to a large extentandthusattractsgreatinterestintheacademicfield. ThePIDcontrolleriswidelyusedintraditionalflightcontrol systemsandpracticalsituationsduetoitssimplestructure

[1] This article proposes a non linear approach for guidance and longitudinal control of unmanned aerial vehicles dynamicscalculatemodelsystemefficiencyinlinearlargesinceslidingThisSlipanglelargepathminimize(UAVs).Themaintaskoftheguidancealgorithmistoerrorsintheheightandangleofthevehicle'sflightduringflight.Theguidanceschemeshouldworkwellforandsmallpitcherrorswithoutsaturatingthepitchofthevehicleactingasacontrolinput.ISMC(IntegralModeControl)isusedforlongitudinalcontroloftheUAV.isanimprovedslipcontrolmethod.Initially,alinearsurfaceisusedforlongitudinalguidance.However,itdoesnotprovidesatisfactoryperformanceinbothandsmallflightpathaltitudeandangularerrors,anonslidingsurfaceisproposed.SimulationsareperformedMATLAB®/SIMULINK®.Thesimulationresultsshowtheandreliabilityoftheproposedcontrolmethod.[2]Thispaperfocusesondevelopingastabilitycontrolforfixedwingturbopropaircraft(UAV).TheUAVwascreatedusingDATCOMdigitalsoftwaretoaerodynamicderivatives.Thelongitudinalflightwillsumupthecontrolresponsesinthe

International Research Journal of Engineering and Technology (IRJET) e ISSN: 2395 0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p ISSN: 2395 0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 198 andeasyoperation.However,theflight'spoorerqualityin terms of adaptability to the environment and the considerabledifficultyofadjustingitsparametersthrough testflightmakeitverydifficulttoachievethedesiredflight quality.Inrecentyears,advancesinmicroelectronicshave ledtoawiderangeofUAVdesigns.Fromdronestomulti cruiseaircraft,droneshaveevolvedtotakeadvantageofthe higher computing power of today's microcontrollers to perform increasingly complex tasks on their own. The multirotor community mainly drives the commercially available development (COTS) of the open source flight controlcomputer(FCC).Thesecomputersbecameavailable tothegeneralpublicatarelativelylowcost.Oneofthemost widelyusedopen sourceFCCCOTSisPixhawk.Theproject successfully used large scale rotor processing quality specifications, modified to reflect small scale dynamic differences,tooptimizetheinner loopcontrollawandOuter ring around static flight. This project serves as a breakthrough in the experimental discovery and determinationoftheprocessingqualitiesofa quadcopter. Traditionalfixed wingaircraftarestillthedesignofchoice whenspeed,rangeandenduranceareessentialtasks.This projectaims todevelopa comparable knowledge base for optimizingsmall scalefixed wingUAVcontrollawsbasedon ADD'sextensiveresearchonlarge scalefixed wingaircraft. Since the flying wing drone adopts wing body mixing technology, the horizontal and vertical tail sections of the conventionalconfigurationarecancelled,theaircraftlooks likearaisedsurface.

[3] Easy and cheap replacement. This paper drafts a vertical guidance method based on visual guidance for network recovery of small fixed wing unmanned aerial vehicles(UAVs).Basedonopenmv4,itemploysanapptag detectionalgorithmtoidentifythetarget.Thisallowsyouto quickly calculate the pose and attitude of the target concerningthecamera.Averticalleadtrackingmethodhas been proposed to compare tracking and proportional lead regulations. Considering the factors that affect the control performanceoftheangleswitchingtime,weproposedanew verticalpseudo trackingguidancelaw.ThePIDcontrollerhas beendesigned,andvirtualrecoverypointshavebeensetup for verification. Simulation results show that the designed guidancelawisaccurateandfeasible.

2. LITERATURE SURVEY

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����and���� planes. This search to increase stability uses the Linear QuadraticRegulator(LQR)approach.Theflyingstabilityof thisdronecomesfromasolutiontotheDifferentialRiccati Equation (DRE) that provides optimal controller gain for tuning the states. The simulation results show that the proposed method can be considered to improve flight performanceinthepresenceofturbulence.

[4]Unmannedaerialvehicles(UAVs)autonomyhaslong been a problem. One of the most important milestones is autonomous takeoff and landing capabilities. Several recovery/landing methods apply to UAVs, including Net recovery, parachute, etc. However, there are weight restrictions, structural reinforcements, and additional maintenanceconsiderationsforin vehicleequipmentinmost cases.Thispaperpresentssomeofthepreliminaryeffortsof theNationalChengKungUniversity(NCKU)RemoteControl Vehicle and Microsatellite Institute (RMRL) in Taiwan to develop a low cost autonomous runway landing control system. The SWAN developed by RMRL in recent years is used as a UAV. The design process includes systematic identificationofUAVdynamicsusingtheObserver Kalman identification (OKID) method, control system design using thePID andindexingthesimulationthat:theory.methodperturbations.horizontallandingeffortscomputerdesignmethodforbothdescentandinterception,andsimulationcontrolverification.Itisincluded.Theseshouldbethebasisforrealizingfutureautonomouscontrol.[5]AircraftmovementwasdecomposedintoverticalandmovementsaccordingtosmalllinearizedWediscussedtheverticalcontrollawdesignusingtherootlocusbelongingtoclassicalcontrolSimulationresultsfora6DOFnonlinearmodelshowThedesignedcontrolparametersarereasonable,theprofileperfectlymatchestheadjustmentprofile,controleffectofthepitchandelevationloopsisanrequirement,theprocedureismatureandreliable,engineeringiseasy.

Integratedcontrolinslidingmodewithnon linearsliding surfacesisproposedtocontrolthelongitudinalguidanceof the aircraft with parameters selectable to meet specified operating conditions. Then the non linear guide law is derived. The stability of the proposed sliding surface is demonstratedusingthecorrespondingLyapunovfunction. Avoid saturation adjustments. In addition, the desired performanceisachievedwithoutsaturationofthepitchangle controlcommandbythevehiclecontrolsystem.Simulations were performed in SIMULINK®, and simulation results

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3. DIFFERENT THEORIES AND THEIR

APPLICATION

3.1 Integral sliding mode control

Fig -1:Developmentofdifferenttheoriesandtheirapplicationtothedesignoflongitudinalcontrollawsforasmallfixed wingdrone

3.4 PID design method based on Observer Kalman Identification Method (OKID)

Fig 4:DiagramBlokofLQRasStabilityAugmentation System[2]

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AttemptstodeterminethedynamicsoftheUAVusingthe ObserverKalmanfilterandthedesignofaverticallanding controllerfortheapproachandflarephases.Thecontrollers have been tested in computer simulation under ideal conditions. To perform these tasks, a new high precision altimetersensor,RFM,wasalsodevelopedandusedfordata collection,especiallyforsystemidentification.Itspotential couldbefullydemonstratedinthenexttestflight.Itmonitors altitudewithminorerrorsandahighersamplingratethan barometric and GPS altimeters. Analysis of the flight test landingdatawasperformed.Severalessentialparametersfor controllerdesignandsimulationhavebeenidentifiedfrom thestudies.Thecommentsprovidearoughideaoftherange andmeanoftheparameters.Discrete timelinearlongitudinal models ofthe SWAN dronedynamics were obtained using OKIDfromthewindlessflighttestdata.OKIDhasprovento beahandytooltoidentifysystemsindiscretetime.ThePI controllers for the approach and flare phases have been designed and tested in computer simulation under ideal conditions,withnonoiseandnowind.Bothcontrollerswork fine,andthesimulatedflightpathmatchesthedesiredflight path. The controllers are designed to be a significant preliminaryattempttoachieveanautomaticlandingrunway.

3.2 LQR technique

Thelongitudinalstabilitygaincontrolisdevelopedbased on the Linear Quadratic Regulator (LQR) approach. This proposedmethodologycantrainthesystemtoastableflight by correcting the state system causing the deflection guaranteeapproamoregainobtaineddrone'smovements.Inaddition,thisapproacheffectivelyrestoresthestabilitywheninterferenceoccurs.Thisadvantageisbecausetheoptimizationprocesscreatesafeedbackcontroller.Asaresult,thescopeofordermanagementiscomprehensivethanthatobtainedwiththeclassicalch.Therefore,thisoptimalcontrolcanprovideaofflightstability.[2]

TheApriltagsrecognitionalgorithmbasedonopenmv4 allows the system to convert the image signal into the required instruction signal, meeting the expected requirementsforlightness,cheapnessandanti interference robustness. The designed vertical guiding law processes position solution information from the vision system and thatthetheofgeneratecontrolsignals.Simulationverifiestheconfigurationoneandthreevirtualrestorepoints.Itisconcludedthatactualsituationmatchestheidealsituation.Inaddition,verticalLOSanglerespondsquickly.Thesefullyprovethedesignedguidancelawisaccurateandfeasible.

Fig 5:Feedbackoutputsduetodeviationfromoriginal attitudes.(a).Pitchrateresponse,and(b).Pitchangle response.[2]

3.3 Apriltags Recognition Algorithm based PID controller

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Fig 2:(a)Simulationresultsforerrorinaltitudeversus timefordifferentvaluesofλ;(b)Simulationresultsfor referencepitchanglewithλ=0.004[1] Fig 3:(a)Simulationplotoferrorinaltitudeversustime usingISMCandSMC;(b)Simulationplotoferrorinflight pathangleversustimeusingSMCandISMC[1]

obtained using ISMC were compared with those obtained using SMC. After that, you successfully gained maximum control. The results demonstrated the effectiveness of the proposedcontrolscheme.[1]

3.5 Root locus method

Isolatedallofthemomentsandstrengthswithinsidethe system: weight, aerodynamic forces and moments, thrust, drag sweep. Following Newton Euler formulation, we've givenyouanon linearversionthathasbeenlinearisedtouse linearmanipulatetheory.Alongitudinalbalanceversionhas been used to layout cascade shape comments manipulate loops.FrequencyareastrategieshadbeenusedtocreatePID kind controllers. An internal comments loop managed the pitch perspective via way of means of quite simply performingattheflapdeflection.Then,anouterloopallowed monitoringofthepreferredaltitude.Achievingthismanaged versionisthe beginning ofa manner fordevelopmentand could allow us to create navigation structures that lay the principlesofthelatestpaintingslines.Improvingtheversion and its manipulation is step one to designing optimized manipulation techniques and exploring new opportunities withinsidethefield.

3.7

5. The most significant improvement over the old controller is the Low DM design. Optimizing to minimal aggression resulted in a 77% improvement in attitude trackingwitha60%reductioninliftusagecomparedtothe oldcontroller.Forthegainofthedesignmargin,theattitude trackingprogressisrelativelylittle.Atthesametime,theuse ofelevatorsisincreasingrapidlyandapproachingthelegacy value of the most dynamic high DM design. Also, the optimizationmadethegainandphasemarginalmosttwice the importance of the legacy controller, giving better certaintyovertheuncertainty.

6. C182 UAV noise rejection bandwidths and dimensionlessspecificationsofgainmargin,phasemargin, auto shutdown and peak noise rejection agree with the requirements being met at the full scale. Additionally, the C182'sFroude scaleDRBisreasonablyclosetothefull scale DRBrequirementsfortheUH60rotor.Thisfindingsuggests thatFroudescalinglarge scaleprocessingqualitytoaUAV scale can define UAV specific processing quality requirements.

Fig 6:Theglobalarchitectureofmulti modelcontrol Fig -7:Theinnerloopforvelocityandpitchangle

3.6 Nonlinear model simulation

Multi-model Technique

integrator's proportional gain to ≈ 1/5 of the cut off frequencyresultsinagooddesignwithgoodnoiserejection characteristics.

International Research Journal of Engineering and Technology (IRJET) e ISSN: 2395 0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p ISSN: 2395 0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page201

4.LessaggressivedesignswithlowDRBandDRPresultin more stable video images for down facing cameras. With higher DRB and DRP, more aggressive controller designs resultinamorestablevideoforthefront facingcamera.

Development of longitudinal control method and modellingmethodoffixed wingUAV.Forexample,forsome UAVs,wehavediscussedhowtoconstructcontrollawsfor pitchanglecontoursandelevationcontours.Theaccuracyof thecontrollawwasverifiedbymodellinganonlinearmodel with6degreesoffreedom.Thiscontrolmethodwassimplein atechnicallyeasyformtoimplement.

baselinecontrolusage.wingshowndevelopsignalthemethodsfollowingstabilitycancellationandcommandexplicitforbasedobtaineddomainSystemidentificationinthe12Cessna182UAVfrequencywasperformed,andastatespacemodelwasfromtheflightdata.Amultitargetoptimizationflightcontrolsystemwasdevelopedandflighttestedlongitudinalstabilityduringsurveillancemissions.Anmodelbasedonthearchitectureusedtheattituderesponsestyletoprovideindependentthrottlingthrottlingfeedback.Theinfluenceofthenoiseperformanceofthecontrolsystemontheimageofthedownfacingcamerawasobserved.Thefindingswererecorded:1.Fullscalefrequencydomainsystemidentificationworkwellforsmallscaleaircraft.Thisisbecauseflightcontrolhardwareandsensorscanproduceahightonoiseratiodatasuitableforidentification.2.ThemultiobjectiveoptimizationbasedmethodologyedforfullscaleaircraftandrotorcrafthasbeentoworkwellindesigningflightcontrolsforafixedUAVtomeetspecificationswithminimumcontrolThespecificationsusedtooptimizethelongitudinallawsfortheC182UAVworkedwellandcanserveasaforfutureUAVcontrollawoptimization.Limitingthe

3. The excellent consistency between closed loop, interrupt loopandturbulencefeedbackcoatingsemphasizes the importance of an accurate vacuum model. The deterministic model of the C182 drone shows good agreementwiththefull scaleC182Froudescalevalues.

International Research Journal of Engineering and Technology (IRJET) e ISSN: 2395 0056 Volume: 09 Issue: 02 | Feb 2022 www.irjet.net p ISSN: 2395 0072 © 2022, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 control

[2] Putro, I. E., and R. A. Duhri. "Longitudinal stability augmentationcontrolforturbojetUAVbasedonlinear quadratic regulator (LQR) approach." AIP Conference Proceedings.Vol.2226.No.1.AIPPublishingLLC,2020.

[5] Duan, Zhen. "Longitudinal Control Law Design and SimulationofFixed WingUAV."AppliedMechanicsand Materials.Vol.241.TransTechPublicationsLtd,2013.

Fig 8:(a)Guidanceproblemdefinition;(b)Longitudinal GuidanceandControlSystem[1]

[10] Villota Miranda, David, Montserrat Gil Martínez, and JavierRicoAzagra."Longitudinalcontrolofafixedwing UAV."XXXIXJornadasdeAutomática.ÁreadeIngeniería deSistemasyAutomática,UniversidaddeExtremadura, 2018.

loop 3.8 Model Predictive Control (MPC) and NMPC methods Model

[8] Sanders,FrankC.,etal."Systemidentificationandmulti objective longitudinal control law design for a small fixed wing UAV." 2018 AIAA Atmospheric Flight MechanicsConference.2018.

[6] Kumar, KK Sajith, Hemendra Arya, and Ashok Joshi. "Longitudinal Control of Agile Fixed Wing UAV Using Backstepping."2019IEEEAerospaceConference.IEEE, 2019. [7] Kong,Desheng,etal."Longitudinalcontrollawdesign for fixed wing UAV based on multi model technique." Fifth InformationInternationalConferenceonIntelligentControlandProcessing.IEEE,2014.

problemMPC,nonlinearpredictivePredictiveNonlinearControl(NMPC)isavariantofmodelcontrolcharacterizedbytheuseofasystemmodelforprediction.NMPC,likelinearrequiresaniterativesolutiontotheoptimalcontroloverafinitepredictionrange.

The presented vertical control concept overcomes these difficultiesbycombininganadaptivecontrollerbasedona referencemodelwithasetofdynamicfeedforwardstoform aircraftmovementunderallconditionsandpilottasks.

REFERENCES

[1] Haridas,Varsha,andA.Vivek."Longitudinalguidanceof unmanned aerial vehicle using integral sliding mode control."ProcediaTechnology25(2016):36 43.

[4] Hsiao, Fei Bin, et al. "Landing longitudinal control system design for a fixed wing UAV." 45th AIAA AerospaceSciencesMeetingandExhibit.2007.

[9] Yibo, L. I., Chao Chen, and Wei Chen. "RESEARCH ON LONGITUDINAL CONTROL ALGORITHM FOR FLYING WING UAV BASED ON LQR TECHNOLOGY." International Journal on Smart Sensing & Intelligent Systems6.5(2013).

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The problem discussed in this paper is based on the guidanceofanairvehiclefromwaypointWP1towaypoint WP2(asshowninFig.1.(a))withminimumerrorinaltitude and flight path angle in the presence of disturbances. The UAVcontrolsystemconsistsofanouterguidanceloopand inner control loop. Fig.1.(b) shows the structure of the overalllongitudinalguidanceandcontrolsystem.Theouter guidanceblockgetsthecurrentpositionandgroundvelocity vectorinputsfromthesensorandthewaypointinformation from the mission plan. Based on this information, the guidanceblockwillgenerateareferencepitchangle(θr)for the inner control loop to follow. The internal control loop receivesinformationaboutthecurrentpitchangleandpitch ratefromthesensorandgeneratesthecommandsusedto activatetheelevator.

4. CONCLUSIONS

[3] Hang, Zhang, Xin Chen, and Hao Huixin. "Longitudinal GuidanceLawofVision basedNet recoveryforaSmall Fixed wing UAV." 2020 Chinese Control and Decision Conference(CCDC).IEEE,2020.

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