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)