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1、ControltheoryforlinearsystemsHarryL.TrentelmanResearchInstituteofMathematicsandComputerScienceUniversityofGroningenP.O.Box800,9700AVGroningenTheNetherlandsTel.+31-50-3633998Fax.+31-50-3633976E-mail.h.l.trentelman@math.rug.nlAntonA.StoorvogelDept.ofMathematicsandComputi
2、ngScienceEindhovenUniv.ofTechnologyP.O.Box513,5600MBEindhovenTheNetherlandsTel.+31-40-2472378Fax.+31-40-2442489E-mail.A.A.Stoorvogel@tue.nlMaloHautusDept.ofMathematicsandComputingScienceEindhovenUniv.ofTechnologyP.O.Box513,5600MBEindhovenTheNetherlandsTel.+31-40-247262
3、8Fax.+31-40-2442489E-mail.M.L.J.Hautus@tue.nl2PrefaceThisbookoriginatesfromseveraleditionsoflecturenotesthatwereusedasteach-ingmaterialforthecourseControlTheoryforLinearSystems,givenwithintheframeworkofthenationalDutchgraduateschoolofsystemsandcontrol,inthepe-riodfrom1
4、987to1999.Theaimofthiscourseistoprovideanextensivetreatmentofthetheoryoffeedbackcontroldesignforlinear,finite-dimensional,time-invariantstatespacesystemswithinputsandoutputs.Oneoftheimportantthemesofcontrolisthedesignofcontrollersthat,whileachievinganinternallystableclo
5、sedsystem,maketheinfluenceofcertainexogenousdisturbanceinputsongivento-be-controlledoutputvariablesassmallaspossible.In-deed,intheappropriatesensethisthemeiscoveredbytheclassicallinearquadraticregulatorproblemandthelinearquadraticGaussianproblem,aswellas,morere-cently,b
6、ytheH2andH∞controlproblems.MostoftheresearcheffortsonthelinearquadraticregulatorproblemandthelinearquadraticGaussianproblemtookplaceintheperiodupto1975,whereasinparticularH∞controlhasbeentheimportantissueinthemostrecentperiod,startingaround1985.In,roughly,theintermedia
7、teperiod,from1970to1985,muchattentionwasat-tractedbycontroldesignproblemsthatrequiretomaketheinfluenceoftheexoge-nousdisturbancesontheto-be-controlledoutputsequaltozero.Thestaticstatefeed-backversionsofthesecontroldesignproblems,oftencalleddisturbancedecoupling,ordistur
8、bancelocalization,problemsweretreatedintheclassicaltextbookLinearMultivariableControl:AGeometricApproach,byW.M.Wonham
