Abstract This paper is concerned with the issue of finite-time control for Markovian jump systems randomly occurring quantization. By absorbing the phenomena of unmeasurable state and randomly occurring quantization, a novel nonhomogeneous Markovian switching system is constructed, and an observer-based controller and non-fragile observer are designed. By utilizing Lyapunov function method, sufficient admissibility conditions are derived for the stability of the underlying system in a finite-time domain. Finally, a DC motor model is presented to explain the feasibility and validity of the proposed design method.

中文翻译：

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受随机发生量化影响的马尔可夫跳跃系统的有限时间控制

摘要 本文研究马尔可夫跳跃系统随机发生量化的有限时间控制问题。通过吸收不可测态和随机发生的量化现象，构造了一种新型的非齐次马尔可夫切换系统，并设计了基于观测器的控制器和非脆弱观测器。利用李雅普诺夫函数法，推导出了有限时域内底层系统稳定性的充分容许条件。最后，提出了一个直流电机模型来解释所提出的设计方法的可行性和有效性。