分段廣義系統(tǒng)線性二次最優(yōu)控制.pdf

1、黑龍江大學碩士學位論文分段廣義系統(tǒng)線性二次最優(yōu)控制姓名：劉舉成申請學位級別：碩士專業(yè)：應用數(shù)學密碼學指導教師：張顯20070517黑龍江大學碩士學位論文AbstractThedescriptorsystemshaveattachedmuchattentionduetomanyareasinaerospace，energy，network，electricpower，petroleum，chemicalengineeringandcomm

2、unicationetcStudyingpiecewiselinearaffinesystemsisanimportantbranchofcontroltheory，itmainlydependsthepartitionofstatespace，CalTyonanalysistoeachlineardistrictthen矗ndthecontacteachotherswhichwillbringoutthewholeproperties

3、ofsystemsInthelastfewyears，alongwiththeresearchofpiecewiselinearaffinesystemsobtainingmuchprogress，alotofresultsonoptimalcontrolproblemswereobtainedagainHoweveruptonowmainresearchworksa∞onlylimitedtopiecewiselinearaffine

4、systemsBecausedescriptorsystemshavespecialproperties，itisverydifficultytostudyoptimalcontrolofpiecewiselinearaffinedescriptorsystemsTherefore，ourresearchontheoptimatcontrolofpieccwiselinearaffinedescriptorsystemshaveimpo

5、rtanceofactualmeaningsignificanceThistextgivesanalysisesindetailresearchofpiecewiselinear(affine)systemsinpresent，andemphasizesthoseaboutoptimalcontrolproblemsofpiecewiselinearaffinedescriptorsystemsThemainresultsinclude

6、thefollowing：(i)Abriefsummaryofmainresultsoilpieeewiselinearsystemsisgiven【ii)Theproblemsofoptimalcontrolofpiecewiselinearaffinedescnptorsystemsarestudiedbyusingsomeelementarymatrixtransformationsandlinematrixinequalitie