Mixed H₂/H_∞ control of markovian jump time-delay systems with uncertain transition probabilities

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• 作者：Li Qiu^a ; Bo Zhang^a ; Gang Xu^a ; ^c ; Jianfei Pan ; ^a ; ^{pan_jian_fei@163.com" class="auth_mail" title="E-mail the corresponding author} ; Fengqi Yao^b
• 关键词：Markovian jump linear systems ; Time-delay systems ; H2 control ; H&infin ; control ; Uncertain transition probabilities
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：10 December 2016
• 年：2016
• 卷：373
• 期：Complete
• 页码：539-556
• 全文大小：891 K

文摘

This study addresses the robust stability problem of Markovian jump time-delay systems with mixed H₂ and H_∞ control and uncertain transition probabilities in the discrete-time domain. The transition probabilities are considered to be uncertain but bounded. By proposing a new Lyapunov functional and applying the free-weighting matrix technique, we design the mode-dependent mixed H₂/H_∞ controller such that the resultant closed-loop systems possess stochastic stability and are prescribed with H_∞ performance indices. These results generalize several results reported in previous literature, which consider the Markovian transition probabilities to be known a priori or partially unknown transition probabilities. Numerical examples and a practical motion control system are presented to illustrate the effectiveness of this technique.