简介:基于随机微分博弈Markov跳变线性系统,利用微分博弈理论讨论其H∞鲁棒控制问题.将随机Markov跳变线性系统的H∞鲁棒控制问题转化为相应的零和博弈模型,在此基础上,利用鞍点均衡理论,得到了其鲁棒控制存在的充分条件等价于相应的差分Rcati方程存在解,并给出了最优控制策略.
简介:针对噪声同时依赖于状态和控制的It8型离散随机奇异系统,讨论其在有限时域内的非零和博弈问题.首先,讨论了单人博弈问题(离散随机奇异系统最优控制问题),即双人博弈的特殊情形,借鉴连续随机奇异系统的相关研究,利用配方法,得到了离散随机奇异系统单人博弈最优策略存在的充分条件等价于相应的差分方程存在解.在此基础上,通过转换方法,由单人博弈推广到两人博弈,得到了有限时间离散随机奇异系统非零和博弈问题的均衡解.该均衡解存在的充分条件等价于其相应耦合Riccati差分方程存在解,并给出了最优策略及最优值的表达式.
简介:Basedontheprincipleofimpedancemismatching,theperformanceofrigidvibrationisolationmassinimpedingvibrationwavepropagationwasdiscussedfromtheperspectiveofwaveapproach.BasedonFEM,theinfluenceofitsweightaswellasthecross-sectionshapeparametersontheisolationperformanceofrigidvibrationisolationmasswasstudiedthroughnumericalsimulation.Theresultsshowthatrigidvibrationisolationmasscaneffectivelyimpedethepropagationofthemediumandhighfrequencyvibrationwaves,andtheheavierthevibrationisolationmass,thebettertheisolationperformance.Forlowfrequencywaves,thevibrationisolationeffectisnotsoobvious;forarectangularvibrationisolationmass,theisolationperformancecouldbeeffectivelyimprovedbyincreasingthecross-sectionheightandreducingthecross-sectionwidth.Ausefulreferencewasprovidedfortheapplicationofrigidvibrationisolationmassestothevibrationisolationandnoisereductionofshipstructure.