脉冲切换系统H∞优化控制及应用

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1、华中科技大学博士学位论文脉冲切换系统H<,∞>优化控制及应用姓名：许弘雷申请学位级别：博士专业：系统工程指导教师：刘新芝20050517华中科技大学博士学位论文动的陈氏混沌系统渐近镇定到平衡点给出其充分条件并通过使具有不确定扰动的两个陈氏混沌系统的脉冲同步误差系统鲁棒渐近镇定到平衡点,实现两个陈氏混沌系统的鲁棒同步通过应用非线性脉冲系统H优化控制的结果论文研究陈氏混沌系统脉冲反馈¥H鲁棒镇定问题并对其进行数值仿真¥最后总结全文的研究工作并且在脉冲切换系统H鲁棒控制及脉冲控制方面展¥望与设想将来将要做的研究工作关键词脉冲切换系统H优化控制稳定性分

2、析鲁棒镇定¥Riccati不等式线性矩阵不等式脉冲控制混沌系统II华中科技大学博士学位论文AbstractHoptimalcontrolasanimportantpartofsystemcontroltheoryandsystem¥engineeringattractsmoreandmoreinterestsofscientistswhostudycontrolandsystemengineering.Hoptimalcontroltheoryisoneofefficientmethodstoenhancesystem¥robust.Inthe

3、late20yearstheHcontroltheorydevelopedquickly.Ontheotherhand,¥inrecentyears,hybrid(switched)systemandimpulsivehybrid(switched)systemareattractivelatelyandattractlotsofscientistswhostudiesappliedmathematics,computerscience,systemengineering,etc,whichbringchancesandchallengesfo

4、rcontroltheoryandsystemengineering.Hoptimalcontroltheoryofimpulsiveswitchedsystemandapplicationof¥impulsivecontrolarestudied.Firstly,Hoptimalcontrolproblemoflinearimpulsive¥dynamicsystemsisstudied.ThenHoptimalcontrolproblemoflinearimpulsive¥switchedsystemisstudiedandthecorre

5、spondingcontrollawsareobtained.Then,theHoptimalcontrolproblemfornonlinearimpulsiveswitchedsystemswith¥norm-boundedtimevaryinguncertaintyisconsidered.BasedontheRiccatiinequalityapproach,wederivethesufficientconditionsofrobustHstabilityofnonlinear¥impulsiveswitchedsystemsandpr

6、esentlineartimeinvariantstatefeedbackcontrollawstostabilizethosesystems.Therobuststabilityandstabilizationproblemforaclassofimpulsiveswitchedsystemswithuncertaintyisstudied.Wedevelopthesufficientconditionsoftheimpulsiveswitchedsystems'uniformasymptoticalstabilityandgivelinea

7、rtimeinvariantstatefeedbackcontrollaws,whichcanrobustlystabilizetheimpulsiveswitchedsystemsbyusinglinearmatrixinequalitiesmethod.Futhermore,itisconcernedwithrobuststabilityproblemforimpulsiveswitchedsystemwithLQguaranteedcostcontrol.Someresultsforrobuststabilityofthisclassof

8、impulsiveswitchedsystemareobtained.Sufficientconditionsforexistenceofguaran