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一类不确定Markov跳变时滞系统的鲁棒输出跟踪控制
Robust Output Tracking Control for Markovian Jump Time-delay Systems with Uncertain Mode Transition Rates
【Author】 Chen Zhisheng1,Li Yonggang2 1.School of Energy and Power Engineering,Changsha University of Science and Technology,Changsha 410076,P.R.China2.Central South University,Changsha 410083,P.R.China
【机构】 长沙理工大学能源与动力工程学院; 中南大学信息科学与工程学院;
【摘要】 讨论了一类具有模态转移率不确定性的Markov跳变时滞系统的鲁棒输出跟踪控制问题。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。
【Abstract】 The robust output feedback control problem is studied for a class of Markovian jump time-delay systems with un-certain switching probabilities.Sufficent conditions on the stochastic stability with prescribed H∞ tracking performance are proposed using a slack weighting matix method.The conditions and the optimial design of the controller are formulated as a set of direct linear matrix inequalities(LMIs).Further more,the tolerable bound of the perturbation of the mode transition rates is also presented.
【Key words】 Jump delay systems; Uncertainties; Tracking control; LMI;
- 【会议录名称】 第二十六届中国控制会议论文集
- 【会议名称】第二十六届中国控制会议
- 【会议时间】2007-07-26
- 【会议地点】中国湖南张家界
- 【分类号】TP13;O211.62
- 【主办单位】中国自动化学会控制理论专业委员会(Technical Committee on Control Theory,Chinese Association of Automation)