This paper addresses the finite-time observer-based control for Markovian jump systems with time-varying generally uncertain transition rates. In order to estimate the states, a suitable observer is designed, in which both external disturbance and Brownian motion exist. In order to solve the complex time-varying transition rates, a quantization mechanism is raised to prove the closed-loop system and the observer error system be stable. Sufficient conditions of the existences of both the observer and the observer-based controller are derived in terms of linear matrix inequalities. Eventually, two practical examples are given to testify the correctness of the results.

中文翻译：

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具有时变一般不确定跃迁率的马尔可夫跳跃系统的基于有限时间观测器的控制

本文讨论了基于有限时间观测器的控制，用于具有时变通常不确定的过渡率的马尔可夫跳跃系统。为了估计状态，设计了一个合适的观测器，其中存在外部干扰和布朗运动。为了解决复杂的时变跃迁率问题，提出了一种量化机制来证明闭环系统和观测器误差系统是稳定的。根据线性矩阵不等式推导出观测器和基于观测器的控制器存在的充分条件。最后给出两个实际例子来证明结果的正确性。