Backstepping Control of Nonlinear Dynamical Systems (Advances in Nonlinear Dynamics and Chaos (ANDC)) PDF
Preview Backstepping Control of Nonlinear Dynamical Systems (Advances in Nonlinear Dynamics and Chaos (ANDC))
Backstepping Control of Nonlinear Dynamical Systems A volume in the Advances in Nonlinear Dynamics and Chaos series Serieseditors AhmadTaherAzar SundarapandianVaidyanathan VisittheSerieswebpageathttps://www.elsevier.com/books/book-series/ advances-in-nonlinear-dynamics-and-chaos-andc Backstepping Control of Nonlinear Dynamical Systems Edited by Sundarapandian Vaidyanathan ResearchandDevelopmentCentre,VelTechUniversity,Chennai, TamilNadu,India Ahmad Taher Azar RoboticsandInternet-of-ThingsLab(RIOTU),PrinceSultanUniversity, Riyadh,SaudiArabia FacultyofComputersandArtificialIntelligence,BenhaUniversity,Benha, Egypt AcademicPressisanimprintofElsevier 125LondonWall,LondonEC2Y5AS,UnitedKingdom 525BStreet,Suite1650,SanDiego,CA92101,UnitedStates 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom Copyright©2021ElsevierInc.Allrightsreserved. MATLAB®isatrademarkofTheMathWorks,Inc.andisusedwithpermission. TheMathWorksdoesnotwarranttheaccuracyofthetextorexercisesinthisbook. Thisbook’suseordiscussionofMATLAB®softwareorrelatedproductsdoesnotconstitute endorsementorsponsorshipbyTheMathWorksofaparticularpedagogicalapproachor particularuseoftheMATLAB®software. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans, electronicormechanical,includingphotocopying,recording,oranyinformationstorageand retrievalsystem,withoutpermissioninwritingfromthepublisher.Detailsonhowtoseek permission,furtherinformationaboutthePublisher’spermissionspoliciesandourarrangements withorganizationssuchastheCopyrightClearanceCenterandtheCopyrightLicensingAgency, canbefoundatourwebsite:www.elsevier.com/permissions. Thisbookandtheindividualcontributionscontainedinitareprotectedundercopyrightbythe Publisher(otherthanasmaybenotedherein). Notices Knowledgeandbestpracticeinthisfieldareconstantlychanging.Asnewresearchand experiencebroadenourunderstanding,changesinresearchmethods,professionalpractices,or medicaltreatmentmaybecomenecessary. Practitionersandresearchersmustalwaysrelyontheirownexperienceandknowledgein evaluatingandusinganyinformation,methods,compounds,orexperimentsdescribedherein.In usingsuchinformationormethodstheyshouldbemindfuloftheirownsafetyandthesafetyof others,includingpartiesforwhomtheyhaveaprofessionalresponsibility. Tothefullestextentofthelaw,neitherthePublishernortheauthors,contributors,oreditors, assumeanyliabilityforanyinjuryand/ordamagetopersonsorpropertyasamatterofproducts liability,negligenceorotherwise,orfromanyuseoroperationofanymethods,products, instructions,orideascontainedinthematerialherein. LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN:978-0-12-817582-8 ForinformationonallAcademicPresspublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:MaraConner AcquisitionsEditor:SonniniR.Yura EditorialProjectManager:RachelPomery ProductionProjectManager:PremKumarKaliamoorthi Designer:MatthewLimbert TypesetbyVTeX Contents Contributors xv Preface xix 1. Anintroductiontobacksteppingcontrol SundarapandianVaidyanathanandAhmadTaherAzar 1.1 Introduction 1 1.2 Backsteppingdesignfora2-Dlinearsystem 2 1.3 Backsteppingdesignfora2-Dnonlinearsystem 4 1.4 Backsteppingdesignfora3-Dlinearsystem 7 1.5 Backsteppingdesignforthe3-DVaidyanathanjerkchaotic system 11 1.6 Backsteppingcontrolmethod 15 1.7 Examplesofbacksteppingcontroldesign 21 1.8 Conclusions 27 References 28 2. Anewchaoticsystemwithoutlinearterm,its backsteppingcontrol,andcircuitdesign Viet-ThanhPham,SundarapandianVaidyanathan, AhmadTaherAzar,andVoHoangDuy 2.1 Introduction 33 2.2 Propertiesofthesystem 34 2.3 Dynamicsofthesystem 35 2.4 Backsteppingcontrolfortheglobalstabilizationofthenew chaossystem 35 2.5 Backsteppingcontrolforthesynchronizationofthenewchaos systems 40 2.6 Circuitdesign 45 2.7 Conclusions 48 Acknowledgment 48 References 48 v vi Contents 3. Anewchaoticjerksystemwithegg-shapedstrange attractor,itsdynamicalanalysis,backsteppingcontrol, andcircuitsimulation SundarapandianVaidyanathan,Viet-ThanhPham,and AhmadTaherAzar 3.1 Introduction 53 3.2 Systemdetails 55 3.3 Backsteppingcontrolofthejerksystem 57 3.4 Backsteppingsynchronizationofthejerksystem 61 3.5 Circuitdesign 65 3.6 Conclusions 67 References 69 4. Anew4-Dchaotichyperjerksystemwithcoexisting attractors,itsactivebacksteppingcontrol,and circuitrealization AcengSambas,SundarapandianVaidyanathan,SenZhang, MohamadAfendeeMohamed,YichengZeng,and AhmadTaherAzar 4.1 Introduction 73 4.2 Systemmodel 75 4.3 Dynamicanalysisofthenewhyperjerksystem 78 4.4 Activebacksteppingstabilizationofthenewhyperjerksystem 79 4.5 Activebacksteppingsynchronizationofthenewhyperjerk system 82 4.6 Circuitsimulationofthenewhyperjerksystem 88 4.7 Conclusions 90 Acknowledgment 91 References 91 5. Anew3-Dchaoticjerksystemwithasaddle-focusrest pointattheorigin,itsactivebacksteppingcontrol,and circuitrealization AcengSambas,SundarapandianVaidyanathan,SenZhang, MohamadAfendeeMohamed,YichengZeng,and AhmadTaherAzar 5.1 Introduction 95 5.2 Systemmodel 96 5.3 Dynamicanalysisofthenewjerksystem 99 5.4 Backsteppingcontrolofthejerksystem 100 5.5 Backsteppingsynchronizationofthejerksystem 103 Contents vii 5.6 Electroniccircuitsimulationofthechaoticjerksystem 108 5.7 Conclusions 110 Acknowledgments 111 References 111 6. Anew5-Dhyperchaoticfour-wingsystemwith multistabilityandhiddenattractor,itsbackstepping control,andcircuitsimulation SundarapandianVaidyanathan,AcengSambas,AhmadTaherAzar, K.P.S.Rana,andVineetKumar 6.1 Introduction 115 6.2 Systemmodel 116 6.3 Dynamicanalysisofthe5-Dhyperchaoticfour-wingmodel 119 6.3.1 Restpoints 119 6.3.2 Multistability 119 6.4 Activebacksteppingcontrolfortheglobalstabilizationdesign ofthenew5-Dhyperchaoticfour-wingsystem 119 6.5 Activebacksteppingcontrolfortheglobalsynchronization designofthenew5-Dhyperchaoticfour-wingsystems 124 6.6 Circuitsimulationofthenew5Dhyperchaoticfour-wing system 130 6.7 Conclusions 132 References 134 7. Anew4-Dhyperchaotictemperaturevariationssystem withmultistabilityandstrangeattractor,bifurcation analysis,itsactivebacksteppingcontrol,andcircuit realization SundarapandianVaidyanathan,AcengSambas,AhmadTaherAzar, K.P.S.Rana,andVineetKumar 7.1 Introduction 139 7.2 Systemmodel 140 7.3 Dynamicanalysisofthehyperchaotictemperaturevariations model 144 7.3.1 Bifurcationanalysis 144 7.3.2 Restpoints 145 7.3.3 Multistability 146 7.4 Activebacksteppingcontrolfortheglobalstabilizationdesign ofthenewhyperchaotictemperaturevariationssystem 148 7.5 Activebacksteppingcontrolfortheglobalsynchronization designofthenewhyperchaostemperaturevariationsystems 150 7.6 Circuitsimulationofthenew4Dhyperchaotictemperature variationsystem 155 viii Contents 7.7 Conclusions 159 References 160 8. Anewthermallyexcitedchaoticjerksystem,its dynamicalanalysis,adaptivebacksteppingcontrol,and circuitsimulation SundarapandianVaidyanathan,AcengSambas,AhmadTaherAzar, FernandoE.Serrano,andArezkiFekik 8.1 Introduction 165 8.2 Anewjerksystemwithtwononlinearities 167 8.3 Dynamicanalysisofthenewthermo-mechanicaljerkmodel 171 8.3.1 Restpointsofthenewjerkmodel 171 8.3.2 Bifurcationanalysis 171 8.3.3 Multistabilityandcoexistingattractors 172 8.4 Adaptivebacksteppingcontrolofthenewthermo-mechanical jerksystem 173 8.5 Adaptivebacksteppingsynchronizationofthenew thermo-mechanicaljerksystems 177 8.6 Electroniccircuitsimulationofthenewthermo-mechanical chaoticjerksystem 181 8.7 Conclusions 184 References 185 9. Anewmultistableplasmatorchchaoticjerksystem, itsdynamicalanalysis,activebacksteppingcontrol, andcircuitdesign SundarapandianVaidyanathan,AcengSambas,AhmadTaherAzar, andShikhaSingh 9.1 Introduction 191 9.2 Anewplasmatorchchaoticjerksystemwithtwononlinearities 193 9.3 Dynamicanalysisofthenewplasmatorchchaoticjerkmodel 196 9.3.1 Restpointsofthenewchaoticjerkmodel 196 9.3.2 Bifurcationanalysis 198 9.3.3 Multistabilityandcoexistingattractors 198 9.4 Activebacksteppingcontrolfortheglobalstabilizationofthe newplasmatorchchaoticjerksystem 200 9.5 Activebacksteppingcontrolfortheglobalsynchronizationof thenewplasmatorchchaoticjerksystems 202 9.6 Electroniccircuitsimulationofthenewplasmatorchchaotic jerksystem 205 9.7 Conclusions 208 References 210 Contents ix 10. Directpowercontrolofthree-phasePWM-rectifier withbacksteppingcontrol ArezkiFekik,HakimDenoun,AhmadTaherAzar, NashwaAhmadKamal,MustaphaZaouia,NabilBenyahia, MohamedLamineHamida,NacereddineBenamrouche,and SundarapandianVaidyanathan 10.1 Introduction 215 10.2 MathematicalmodelofPWM-rectifier 216 10.2.1 Vectorrepresentation 218 10.2.2 Abriefreviewofdirectpowercontrol 219 10.3 Principleanddefinitionsofbacksteppingcontrol 220 10.4 ControlofDC-voltagebybackstepping 225 10.5 Simulationresults 225 10.6 Conclusion 230 References 232 11. AdaptivebacksteppingcontrollerforDFIG-basedwind energyconversionsystem IsmailDrhorhi,AbderrahimElFadili,ChakerBerrahal, RachidLajouad,AbdelmounimeElMagri,FouadGiri, AhmadTaherAzar,andSundarapandianVaidyanathan 11.1 Introduction 235 11.2 Windsensor-lessrotorspeedreferenceoptimization 237 11.3 Modeling‘AC/DC/ACconverter-DFIG’association 238 11.3.1 DFIG-AC/DCmodeling 239 11.3.2 AC/DCrectifiermodeling 242 11.4 Controllerdesign 244 11.4.1 Controlobjectives 244 11.4.2 Speedandstatorfluxnormregulatordesign 244 11.4.3 PFCandDCvoltagecontroller 250 11.5 Simulationresultsanddiscussions 252 11.6 Conclusion 256 References 258 12. Dynamicmodeling,identification,andacomparative experimentalstudyonpositioncontrolofapneumatic actuatorbasedonSoftSwitchingand Backstepping–SlidingModecontrollers AmirSalimiLafmejani,MehdiTaleMasouleh,andAhmadKalhor 12.1 Introduction 261 12.2 Relatedworks 264 12.3 ExperimentalsetupofthePneuSys 266
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