T-S模糊時(shí)滯系統(tǒng)時(shí)滯相關(guān)方法研究.pdf

1、摘要隨著科學(xué)技術(shù)的進(jìn)步，現(xiàn)代工業(yè)生產(chǎn)過(guò)程日趨復(fù)雜，這些過(guò)程具有高度非線性、時(shí)滯、多變量、不確定性等特點(diǎn)，這就給傳統(tǒng)的古典控制理論及現(xiàn)代控制理論方法的應(yīng)用帶來(lái)了很大的困難?；谏鲜鰡?wèn)題，論文以具有時(shí)變時(shí)滯的非線性系統(tǒng)為研究對(duì)象，以當(dāng)前在非線性系統(tǒng)中廣泛應(yīng)用的TS模糊模型為基礎(chǔ)，依據(jù)Lyapunov穩(wěn)定性理論，采用模糊權(quán)依賴(lài)型LyapunovKrasovskii函數(shù)和線性矩陣不等式方法，并結(jié)合自由權(quán)矩陣技術(shù)，研究此類(lèi)非線性系統(tǒng)的穩(wěn)定性分析和

2、控制綜合問(wèn)題。論文的研究和所得時(shí)滯相關(guān)意義下的結(jié)果，比相應(yīng)的時(shí)滯無(wú)關(guān)的結(jié)果具有更小的保守性。主要內(nèi)容包括以下兩部分：首先，考慮只具有狀態(tài)時(shí)滯的TS模糊系統(tǒng)，構(gòu)造恰當(dāng)?shù)哪：嚓P(guān)權(quán)LyapunovKrasovskii函數(shù)，利用自由權(quán)矩陣技術(shù)，研究此類(lèi)系統(tǒng)的穩(wěn)定性分析問(wèn)題，并給出了時(shí)滯相關(guān)意義下系統(tǒng)穩(wěn)定的充分條件。其次，實(shí)際系統(tǒng)輸入時(shí)滯現(xiàn)象是不可避免的，基于此問(wèn)題，論文研究了同時(shí)具有狀態(tài)及輸入時(shí)滯的TS模糊系統(tǒng)的鎮(zhèn)定問(wèn)題，并通過(guò)求解LMI的方

3、法給出狀態(tài)反饋控制器的設(shè)計(jì)方法。最后，值得提出的是，本文研究穩(wěn)定性分析問(wèn)題時(shí)，構(gòu)造的模糊權(quán)依賴(lài)型LyapunovKrasovskii函數(shù)引入了更多的模糊權(quán)信息。此外，在設(shè)計(jì)系統(tǒng)的反饋控制器時(shí)，充分利用了輸入時(shí)滯的信息，使得控制器更加合理。通過(guò)數(shù)值例子說(shuō)明了所提出方法的有效性。關(guān)鍵詞：非線性系統(tǒng)；時(shí)滯；T_S模糊模型；時(shí)滯相關(guān)；線性矩陣不等式(LMI)AbstractWiththedevelopmentoftechnologythepra

4、cticalindustryprocessesarebecomingmoreandmorecomplexTheseprocesseshavecharacteristics，suchashighnonlinearitytimedelaymanyvariablesanduncertaintyThesemakeitdifficulttocontrolsuchsystemseffectivelybyusingtheclassicaltheory

5、andtheexistingcontrolmethodsBasedonaboveobservation，thisthesisfocusesonnonlinearsystems誠(chéng)tlltime—varyingdelayBasedonTSfuzzymodel，whichisextensivelyappliedinnonlinearsystems，andLyapunovstabilitytheories，theproblemsofstabil

6、ityanalysisandstabilizationviastatefeedbackareaddressedforthiskindofsystemsbyusingfuzzyweightingdependentLyapunovKrasovskiifunction，LMIapproach，andfree—weightingmatrixtechniqueTheresearchandtheresultsinthisthesisaredepen

7、dentondelaydependentmethodwhichislessconservativethandelayindependentoneThemaincontentcontainstwopartsasfollows：Atfirst，thesystemwithstatetimedelayisfirstconsideredBymeansofappropriatefuzzyweighting—dependentLyapunov—Kra

8、sovskiifunctionsandfreeweightingmatrixtechnique，theproblemofstabilityanalysishasbeendiscussedforthiskindofsystems，furthermoreasufficientconditionofdelay—dependentstabilityisproposedThen，notingthattheinput—delayfrequently

9、occursinpracticalsystemsTheproblemofstabilizationofsystemswithbothstateandinputtimedelaysareaddressed。AnewdelaydependentcontroldesignmethodviastatefeedbackhasbeenproposedintermsofLMIsThefuzzyweightingdependentLyapunov—Kr

10、asovskiifunctionproposedinthisthesisisquitedifferentfromtheexistingonesduetoaddingmorefuzzyweightingtothefunctionInaddition，theinformationofinputtime—delayisfullyemployedinordertoobtainthelessconservativeresultsNumerical