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不确定Markov跳跃系统的H_∞输出跟踪控制 被引量:1

H_∞ Output Tracking Control for Markovian Jump Systems with Uncertain Mode Transition Rates
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摘要 讨论了一类具有模态转移率不确定性的Markov跳跃系统的鲁棒H∞输出跟踪控制问题。利用松弛权矩阵方法,提出保证系统随机稳定且满足给定H∞跟踪性能的充分条件。该条件和控制器的优化设计方案可归结为一组线性矩阵不等式(LMI)的可解性问题。此外还给出了系统模态转移率的允许摄动上界数值条件。 The robust H∞ output feedback control problem was studied for a class of Markovian jump linear systems with uncertain switching probabilities.Sufficient conditions on the stochastic stability with prescribed H∞ tracking performance were proposed using a slack weighting matix method.The conditions and the optimial design of the controller were formulated as a set of direct linear matrix inequalities(LMIs).Further more,the tolerable bound of the perturbation of the mode transition rates was also presented.
出处 《武汉理工大学学报》 CAS CSCD 北大核心 2007年第8期154-157,共4页 Journal of Wuhan University of Technology
基金 国家自然科学基金(60574030)
关键词 跳跃线性系统 不确定性 跟踪控制 线性矩阵不等式 jump linear systems uncertainties tracking control LMI
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