LPV重复过程的H∞滤波新方法.pdf

ComputerEngineeringandApplications计算机工程与应用 LPV重复过程的鼠滤波新方法 齐迹1，李艳辉2 OIJil，LIYanhui2 1．齐齐哈尔大学通信与电子工程学院，黑龙江齐齐哈尔161006 63318 2．大庆石油学院电气信息工程学院，黑龙江大庆1 andElectronic 1．CommunicationEngineeringInstitute，Qiqihar 161006，China 2．SchoolofElectricInformation Petroleum 163318，China Engineering，DaqingInstitute，Daqing，Heilongjiang LPV QIsi,LI methodof and Yanhui．New矾filteringrepetitiveprocesses．ComputerEngineeringApplica- tions，2012，48(12)：213—219． Abstract：This the foraclass linear re- paperinvestigatesproblemof凰filteringoftime—delayedparametervarying the of andthe conditionsfor existenceofthefilterare petitiveprocesses．Sufficient analysisstability proposed, whichaleestablishedintermsthe the of Lyapunovfunctions．Using lemmaand parameter-dependent projection witllthe oftwoslackmatrices．the functionsmatricesandthe help parameter-dependentLyapunov repetitivepro- cessesmatricesare SOthatthe issolved．Anumericalillustratestheeffectivenessofthe decoupled problem example scheme． design proposed words：Linear Key processes；parameter-dependentfunctions；Pa- Parameter-Varying(LPV)repetitiveLyapunov rameterLinearMatrix Inequalities(PLMls)；H。filtering 函数方法推出了该重复过程的稳定性和滤波器设计的充分条件。通过投影定理引入两个附加矩阵，解除了重 复过程矩阵和依赖于参数的Lyapunov函数矩阵之间的耦合，使得到的条件便于求解。仿真实例证实了该设计 方法的有效性。 关键词：线性参数变化重复过程；参数依赖Lyapunov函数；参数线性矩阵不等式；风滤波 文章编号：1002．8331(2012)12．0213．07文献标识码：A 中图分类号：TP273 1引言 重