In order to save network resources of discrete-time Markov jump systems, an event-triggered control framework is employed in this article. The threshold parameter in the event-triggered mechanism is designed as a diagonal matrix in which all elements can be adjusted according to system performance requirements. The hidden Markov model is introduced to characterize the asynchronization between the controller and controlled system. The effect of randomly occurring gain fluctuations is taken into account during the controller design. For the purpose of guaranteeing that the closed-loop system is stochastically stable and satisfies the strictly $(\mathcal {D}_{1},\mathcal {D}_{2},\mathcal {D}_{3})-\gamma -$ dissipative performance, sufficient conditions are constructed by employing the Lyapunov function and stochastic analysis. After linearization, the proposed controller gains are obtained by solving the linear matrix inequalities. Ultimately, a practical example of the dc motor device is used to illustrate the effectiveness of the proposed new design technique.

中文翻译：

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受失配模式和严格耗散性影响的马尔可夫跳跃系统的事件触发控制

为了节省离散时间马尔可夫跳跃系统的网络资源，本文采用事件触发控制框架。事件触发机制中的阈值参数设计为一个对角矩阵，其中所有元素都可以根据系统性能要求进行调整。引入隐马尔可夫模型来表征控制器与被控系统之间的异步性。在控制器设计期间考虑了随机发生的增益波动的影响。为保证闭环系统随机稳定且满足严格 $(\mathcal {D}_{1},\mathcal {D}_{2},\mathcal {D}_{3})-\gamma -$ 耗散性能，利用李亚普诺夫函数和随机分析构建充分条件。线性化后，通过求解线性矩阵不等式获得建议的控制器增益。最后，直流电机设备的一个实际例子被用来说明所提出的新设计技术的有效性。