In this article, the problem of robust finite‐time H_∞ synchronization control is investigated for a class of uncertain discrete‐time master‐slave systems with Markovian switching parameters in the observer‐based case. Parameter uncertainties are assumed to be norm‐bounded, and the polyhedral character is utilized to describe the transition probabilities of nonhomogeneous Markov chain. By using stochastic Lyapunov function method and finite‐time analysis techniques, novel sufficient conditions that include the master‐slave parameters are obtained for designing an observer‐based finite‐time H_∞ synchronization control law in terms of linear matrix inequalities. The effectiveness of the proposed theoretical scheme is finally demonstrated by some simulations.

中文翻译：

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具有非齐次马尔可夫跳跃的不确定离散时间系统的鲁棒有限时间H∞同步：基于观测器的情况

在本文中，健壮有限时间的问题ħ _∞同步控制进行了研究一类不确定离散时间主从系统的与所述基于观测器的情况下Markov调制参数。假定参数不确定性是有界的，并且利用多面体特征来描述非齐次马尔可夫链的转移概率。通过使用随机Lyapunov函数法和有限时间分析技术，新颖的充分条件，其包括用于设计基于观测器的有限时间获得了主从参数ħ _∞线性矩阵不等式方面同步控制法。最后通过一些仿真证明了所提出的理论方案的有效性。